There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.

Answers

Answer 1

Answer:

Given below

Step-by-step explanation:

a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.

b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.

Area of 1 box = 3*3.5= 10.5

c)  The area of the outer rectangle = 8*12= 96 square units.

The area between the two rectangles along the breadth = 3*7= 21 of one side.

The area between the two  sides along the length = 6*1= 6 square units.

Subtracting 21+21+6+6= 54  from 96 gives  42 square units

d)  Area= length *breadth

           = 6* 7= 42 square units.

Hence by all four methods the total area remains the same.

There Are Four Primary Strategies For Determining The Area Of Two-dimensional Figures And Shapes: A)

Related Questions

What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?

Answers

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

What is the midpoint?

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2


The coordinates of the vertices of triangles OPQ are O(0,0) P(4,0) and Q(2,-4). Triangles OPQ is dilated with center O and scale factor 3/2. Sketch the dilation. What quadrants contain the image of triangle OPQ? PLEASE HELP ME

Answers

Answer:

you have to do the directions they gave you, draw the coordinates

Step-by-step explanation:

What is the sum of the polynomials? (6x+7x+x^2)+(2x^2-3x)

Answers

Answer:

3x^2 + 10x

Step-by-step explanation:

find the missing angle

Answers

Answer:

129

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!

uhhh... my math grade is a D and i dont have my phone and i want it back so please just help me, this will get my grade up to a C or a B at least so help

Answers

Answer:

function one

Step-by-step explanation:

the x intercept in function one is a negative number

Answer: function one

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

I hope u understand ...

Dhanu has a model railway.
(a) He has a train that consists of locomotive and 4 coaches. The mass of the locomotive is 87 g
and the mass of each coach is 52 g.
i) Work out the total mass of the train.​

Answers

Ahh this is a good hard question, I hope someone comes along and helps. Goodluck my friend!

a ball has a volume of 2 cubic inches .use the fact that l inch is equal to 2.54 cm to convert this volume to cubic centimeters​

Answers

Answer:

32.77 cm³

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume of ball (in in³) = 2 in³

Volume of ball (in cm³) =.?

From the question given above, we were told that:

1 in = 2.54 cm

Therefore,

1 in³ = 2.54³ cm³

Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:

1 in³ = 2.54³ cm³

Therefore,

2 in³ = 2 in³ × 2.54³ cm³ / 1 in³

2 in³ = 32.77 cm³

Thus, 2 in³ is equivalent to 32.77 cm³

suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years

Answers

Answer:

16984

Step-by-step explanation:

Given

[tex]a = 16000[/tex] ---- Initial

[tex]r = 1\%[/tex] --- rate

Required

Determine the population after 6 years

To do this, we make use of the following exponential function

[tex]f(x) = a(r+1)^x[/tex]

Substitute values for a and r

[tex]f(x) = 16000(1\%+1)^x[/tex]

Express 1% and decimal

[tex]f(x) = 16000(0.01+1)^x[/tex]

[tex]f(x) = 16000(1.01)^x[/tex]

The population after 6 years is:

Substitute 6 for years

[tex]f(6) = 16000(1.01)^6[/tex]

[tex]f(6) = 16984.3224096[/tex]

[tex]f(6) = 16984[/tex] -- approximated

(05.07 MC)
The net of a square pyramid is shown below
3 inches
2 inches
3 inches
2 inches
What is the surface area of the solid?
16 square inches
24 square inches
28 square inches
Previous Question
Question 1 (Answered)

Answers

Answer:

16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)

can someone help me solve this please :))

Answers

I just need somebody to help me and for some reason I have to answer somebody’s thing

8(5 – 2x)
need help answering this question

Answers

Distribute property.
8x5= 40
8x2x= 16x
40-16x

Let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 8 times

each of the terms inside the set of parentheses.

So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.

Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. What’s the independent and dependent variables ?!?!!

Answers

nariz :( jsjsjs f kmambsudbe

Graph the equation using slope-intercept form (y=mx +b)
-3x + y = -2

Answers

both x-axis in the graph is before 5 or -5

SLOPE-INTERCEPT: y=3x-2

Answer
-3x+y=-2
y=3x-2

cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste​

Answers

Answer:

La longitud del alambre que sostiene el poste es 8.94 metros.

Step-by-step explanation:

La longitud del alambre se puede calcular usando Pitágoras:

[tex] L^{2} = P^{2} + B^{2} [/tex]                      

En donde:

L: es la longitud del alambre =?

P: es la altura del poste = 8 m

B: es la distancia del alambre al poste = 4 m

Entonces, la longitud del alambre es:

[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]  

Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.

                               

Espero que te sea de utilidad!

Please please give answer for this question

Answers

Answer:

The remaining piece measures 16 m

which agrees with answer D

Step-by-step explanation:

In order to make a square of area 25 m^2, we need a square of side 5 m ,

Area of square = side^2

25 = side^2   then each side = 5 m

therefore the person needed 4 times 5 m  to create the square, that is 20 m for the square. Therefore the piece that is left can be calculated with the difference:

36 m - 20 m = 16 m

The remaining piece measures 16 m

simplify the expression 4x+2-1/2x

Answers

Answer:

7/2 x  + 2

Step-by-step explanation:

4x+2−

1

2

x

suppose that rectangle ABCD is dilated to A'B'C'D using the origin as the center and a mangnitude of 2. What are the coordinates of C'?​

Answers

Answer:

-8,-8

Step-by-step explanation:

Hope u get it right! :D

find the value of each variable using sine and cosine. round your answers to the nearest tenth​

Answers

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

The value of x is 9.54.

The value of y is 15.3.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 32 = x / 18

Cos 32 = y / 18

Now,

Sin 32 = 0.53

Cos 32 = 0.85

Now,

0.53 = x / 18

Multiply 18 on both sides.

x = 0.53 x 18

x = 9.54

0.85 = y / 18

Multiply 18 on both sides.

y = 0.85 x 18

y = 15.3

Thus,

The value of x is 9.54.

The value of y is 15.3.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Decide if the following is a true or false statement - explain how you know

1.5 + (-1.5) is equal to zero

Answers

Answer:

yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

1)105°

2) 45°

3)63°

4)108°

5)68°

Step-by-step explanation:

Hope this helps! :)

(–8x + 7y) + 9y + (–8x)

Answers

The answer is -16x+16y
The answer is -16x + 16y

): If (6x-3)(6x+3)=ax^2-b, what is the value of a? What is the value of b?

Answers

Answer: a = 36 and b = 9

Explanation:

(6x-3)(6x+3)

= 36x² - 18x - 18x - 9

= 36x² - 9



(6x-3)(6x+3) = ax² - b

36x² - 9 = ax² - b

a = 36 and b = 9

Hope it helps!

The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of

Answers

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas​

Answers

Answer:

392 miles in all.

Answer:

392 miles  

Thats it

Question 5 of 5 0 3 4 5 6 7 8 9 10 Which of the following could be the number shown on the number line? O A A. V20 OB. √24 C. 27 D. 26​

Answers

Answer:

hi may u send a pic?

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

With every number starting with 2 count the number line up it doesn't past 5 or on 5 so it's not 5. It's past 4 so whats your answer?

6 grade math pls help and do step by step

Answers

Jay didnt follow the BEDMAS rule, he should have started withe the division because it has the priority based on the BEDMAS rule.

How do you do the last couple of questions?

Answers

Answer:

SANAOL COMPUTER

Step-by-step explanation:

SORRY DI KO PO ALAM EHH

What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
I know that 166-46 is 120 but i get stuck on the distributive property part. I end up with 8z-2. Also I will give brainliest.

Answers

Answer:

2(4z − 3 − 1) = 166 − 46

8z − 6 − 2 = 120

8z − 8 = 120

8z = 128

z = 16

pls give the brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.

now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16

z = 16  

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

Other Questions
Which section within an expository essay would this supporting detail best fitinto?According to well-known nutritionist Iggy Dale, homegrown vegetablesalmost always contain a higher concentration of essential nutrientsthan vegetables sold in the grocery store.A. An Overview of Vegetable NutrientsB. The Case for Homegrown VegetablesC. Iggy Dale's Wide-Reaching InfluenceD. Best Stores for Healthy Eating Looking at information set off by commas that might state what the definition is for the unknown word is an example of which context clue? O Look for restatements Sensory words O Look for detail O Comparisons and Contrasts In the unit, you explored a few unusual dining experiences that are becoming popular throughout the world. Diners are not only interested in a good meal these days; they often want to enjoy entertainment as well. Describe an unusual dining experience you might have had or heard of. Explain what made the restaurant stand out as different from a normal dining establishment and how it influenced your feelings about returning. Then see if you can list the additional tasks involved in running a restaurant that is also an entertainment experience. What characteristic do sea stars and brittle stars have in common?Both have flexible joints.Both have teeth-like feeding structures.Both use tube feet to catch prey.Both have tentacles. I have to solve this4x-5=2-x What is the difference between qualitative and quantitative data What do the men discover during their captivity in chapter 13?They discover a world of living beings inside the cavernous interior of the moon.They discover that the Selenites are able to learn their language.They learn that the Selenites have found their sphere and they are trapped.They realize a partnership will never work, and they should each go their separate ways. The first answer to the question is the habitats of organisms.Which words best support your answer to Question 1 ?A. Molecular biology has given scientists additional information as to how organisms are related.B. In the 18th century, the Swedish botanist Carl Linnaeus created a new, complex system of taxonomy based largely on the similar structures that organisms have.C. The ancient Greek philospher Aristotle classified all living things as either plants or animals and further described animals as being of three types.D. Some scientists believe that a spoonful of soil may contain as many as ten thousand different species of bacteria. HELPPPPP!!!!!!!!!!!!!! -Ms. Gorman says, Then victory wont lie in the blade, but in all the bridges weve made. What does she mean by bridges?please help Why did the fire hose not work within the Triangle Factory? what was the raj? (world history) I dont know the answer to this question 9 x 3/9 is greater than less than or equal to 9? Which equation represents a line which is parallel to the line y=2x-51. 2x+y=82.x+2y=-43.y-2x=-84.x-2y=6 PLEASE HELP FAST 2. Which of the following is the difference of two squares?49m2 + 81n?9a? - 4669936h2x2 6y? find the are area of the square ABCD HELP HELP I NEED HELP ASAPGeorge weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh? porque es importante para una Persona para permanecer a una Familia Can some one help please