A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area

Answers

Answer 1

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².


Related Questions

Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.

Answers

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

HELPPPP
What is the value of x in the figure at the right?

Answers

Answer:

B) 24

Step-by-step explanation:

This angle adds to 90 degrees, so to solve for x you need this equation:

(2x) + 42 = 90

Subtract 42 from both sides to get:

2x = 48

Divide 2 from both sides to get:

x = 24

Hope it helps!!!

7n-4=31

what does n stand for?

Answers

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

Please answer the problem above

Answers

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

What is 3/4 divided by 1/2

Answers

Respuesta: 3/2= 1 1/2

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2

What's 8x3 please help me.

Answers

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

I don’t know the answer for two but 1 is wrong it’s SOH-CAH-TOA

What is the sign of - 4x .y. 06 when X and Y are positive numbers?
Choose 1 answer:

A.Positive
B.Negative
C.Zero

Answers

Answer:

Step-by-step explanation: ZERO

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will play on the same day.

Answers

24...

8x3=24

6x4=24

Thats the soonest theyll play together.

PLEASE HELP ME ASAP I AM BEGGING YOU. NO SPAM ANSWERS. Find the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. ONLY FIND THE PERIMITER PLZ​
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JUST THE PERIMETER PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Can you make a different question with an image attached?

We need the picture to see the shaded regions

help me pls i give brainliest

Answers

Answer:

Decreased I think because they bumped into the other person

Step-by-step explanation:

Answer:

increased

 i just heard my brother say it because he's in highschool. TwT

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

find food that’s far away! sharks are very good at that
answering so other person can get brainliest

HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero

Answers

Answer:

B

Step-by-step explanation:

its undefined because 3/0.

X = y - 3
2x + y = 12
pls hurry i need badly

Answers

[tex] \huge \colorbox{yellow}{Question}[/tex]

[tex]x = y - 3[/tex]

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

[tex]x = y - 3[/tex]

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]

y = 6

x = 3

43/19 as a decimal rounded nearest hundredth

Answers

Answer:

2.26

Step-by-step explanation:

To round our answer to nearest hundredth, we will round our answer to 2 digits after decimal. We can see that thousandth value is less than 5 that is 3, so will keep last digit 6 as: Therefore, the decimal value of our given fraction is approximately 2.26 to the nearest hundredth.

Can someone help me with this. Will make brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

A quadrilateral has a parallelogram if one pair of opposite sides is congruent and parallel. Parallelograms are designed to have diagonals that bisect one another. When ABCD is bisected by — BD and —AC, then ABCD is a parallelogram.

Step-by-step explanation:

Answer:

A quadrilateral has a parallelogram if one pair of opposite sides is  coinciding exactly when superimposed and parallel. Parallelograms are designed to have diagonals that bisect one another. When abcd is bisected by  bd and ac, then abcd is a parallelogram.

Step-by-step explanation:

how do I solve this and what steps do I take to solve it

Answers

Answer:

122.46 mi^2

Step-by-step explanation:

IF ans is correct comment back for explanation

what is the square root of 30​

Answers

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2

Answers

D) A=pi(r)^2 is the answer

Anyone know how to do this?

Answers

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

Can someone please help me with math.

Answers

2) is C 7$ because 43- 5(3)=28
28/4=7

Can you guys help with the exercise?

Answers

yeah just don’t be fat

what percent of 19.7 is 24

Answers

Answer:

82.083333333333%

Step-by-step explanation:

PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST

Answers

Answer:

-Entire triangle region : 120 sq.cm

-Area of semi circle : 100.53 sq.cm

-Entire composite figure : 220.53 sq.cm

Step-by-step explanation:

Area of triangle = ½ × base × height

= ½ × (8+8) × 15

=½ × 16 × 15

= 120 sq.cm

[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]

=100.530.......

=100.53 sq.cm (rounded to 2 decimal place)

Area of entire figure = 120 + 100.5353

= 220.53 sq.cm

Hope I could help:))

what theorem is this
sss,sas,asa,aas,hl, or not enough info​

Answers

ASA - verticals angles are equal, two sides are equal, and two other angles are marked equal

9. An object that has traveled 400 km in 50 hours, what was the average speed?

Answers

Answer:

its 8

Step-by-step explanation:

Divide 400÷50

Which of the following numbers are less than -0.60? Select all that apply.

- 4/5
-0.65
- 1/6
-0.99

Answers

The correct answers are 1,2, and 4.

Answer:

0..99

Step-by-step explanation:

answer answer answer answer

Answers

Answer:

[tex]12 \leqslant x < 26[/tex]

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