cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.

Answers

Answer 1

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm


Related Questions

On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons

Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.​

Answers

hence (1,7.5) or (5,37.5) points

Help me!
No links!! Please!!

Answers

Answer:

The perimiter is 65

What is the slope of the line below?
The image is a graph of an x-axis and a y-axis. A line is drawn which passes through the points (2,3) and (-2,-7).

A. 5
B. 0.2 or 15
C. 2.5 or 52
D. 0.4 or 25

Answers

Answer:

The awnser is C. but please know I may be wrong

Step-by-step explanation:

C is the correct answer I think

The fractuon 3/5 is found between which pair of fractions on a number line?

Answers

Answer: It's kinda simple, 2/5 and 4/5

Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!

what does 96*96 equal??

Answers

pretty sure 96 * 96 = 9216 !

Subtract 4 from 9 then subtract 5 from the result written expression for the sequence of operations described below

Answers

Answer:

( 9 - 4 ) - 5

Step-by-step explanation:

According to the scenario, expressions can be written as follows,

Subtract is denoted by (-) sign.

So, First sequence of operation,

= For subtract 4 from 9 can be written as ( 9 - 4)

= Second sequence of operation,

Now, subtract 5 from result can be written as ( 9 - 4) - 5

Hence, the final written expression will be ( 9 - 4) - 5.

Use the image to solve

Answers

The answer is

140 degree

Simple Composite figures question. Find the area of the shape.

Answers

9514 1404 393

Answer:

  453.9 m²

Step-by-step explanation:

It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.

The area of the parallelogram is ...

  A = bh

  A = (17 m)(6 m) = 102 m²

The area of the equilateral triangle—using the given altitude—is ...

  A = 1/2bh

  A = 1/2(17 m)(14.7 m) = 124.95 m²

The area of the whole figure is double the sum of these areas, so is ...

  A = 2(102 m² +124.95 m²) = 453.9 m²

The area of the shape is 453.9 m².

__

Additional comment

Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.

Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.

21 = -3c + 7 -5c -2

i need help with this multi step equation question​

Answers

Answer:

c=-2

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

MN = 4 units

m<MLN = 42 degrees

Step-by-step explanation:

For this problem, we need to know the definition of congruence. Two shapes are said to be congruent if the angles and sides have the exact same measurements.

We are given that these two triangles are congruent, so we know they are the same. XYZ ~= NML

Since we know this, we simply rotate the triangles to be the same to know the measurements.

We know that XY = MN = 4 units.

We know that m<YZX = m<MLN = 42 degrees.

So, these are the solutions.

Cheers.

Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)

Answers

Answer:

(5x-3)(3x+4)

Step-by-step explanation:

I hope this helps

Find the value of x. Show your work of a piece of paper

Answers

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3

2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3

Hope that helps

Let me know if it is confusing

10 points! Brain person too!
The stem-and-leaf plot shows mandy’s math test scores. What is the median of her test score?
A- 88
B- 87
C- 85
D- 84

Answers

Answer: C

Step-by-step explanation:

All the numbers are 78, 80, 83, 84, 84, 86, 89, 91, 95, 100. That’s because for each row, you take the number in the first column, and create each score by putting one of the numbers in the second column next to the first number. The median is the number in the middle if you were to put them out in order. I already listed the numbers in order, and the middle numbers are 84 and 86, so the find the middle of those, you add them together and divide by 2. You get 85, a.k.a. option C.

Probably Answer is C

if your not good with percentages, i suggest you should go...
25% of ______ is 15
70% of 30 is ______
What % is 15 of 50?
15% of ______ is 6
40% of 30 is _____
LAST ONE!!!
What % is 40 of 50?
BONUS! (I'm good at these so its oppional)
3 / 1 1/6 =

Answers

25% of 60is 15
70% of 30 is 21
What % Is 15 of 50= 7.5
15% of 50 is 7.5
15% of 40 is 6
40% of 30 is 12
40% of 50 is 20

it's all on the picture please answer ​

Answers

Answer:

[tex]\boxed {\boxed {\sf 32+8k}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]8(4+k)[/tex]

To solve, distribute the 8. Multiply each term inside the parentheses by 8.

[tex](8*4)+ (8*k) \\ (32)+(8k) \\32+8k[/tex]

The expression is equal to 32+8k

3/10 = N/10

Find the missing value to write an equivalent fraction.

Multiply the numerator and denominator by
.

The missing numerator is
.

Answers

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

4.What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)? (5 points)


a
y + 6 = 1(x + 3)

b
y + 1 = −1(x + 2)

c
y − 6 = −1(x + 3)

d
y − 6 = 1(x − 3)

Answers

Answer:

d

Step-by-step explanation:

im doing fast calculation

The number 64 is a perfect_____.
A. square
B. cube
C. square and cube

Answers

Answer:

square and cube

square- 8

cube- 4

Answer:

C) square and cube

Step-by-step explanation:

Square: 4×4×4×4=64

Cube: 8×8=64

Can I please have Brainliest?

can SOMEBODY HELP ME WITH THIS LESSON I NEED HELP ASAP !!​

Answers

Answer:

what's your question? I'm here to help if I can.

alexander is counting his money from his piggy bank. he stacks four quarters per pile. there are 21 piles of quarters.

how many quarters does he have?

Answers

Answer:

He has 84 quaters

Step-by-step explanation:

all you really have to do is multiply 4 times the number of stacks and you get 84

solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are supplementary which means their sum is 180

8x - 6 + 98 = 180 add like terms

8x + 92 = 180 subtract 92 from both sides

8x = 88 divide both sides by 8

x = 11

questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

13: answer is x= —4
14: answer is x= 1/3, x= 2

Find the slope of the line with x intercept 9 and y intercept of -2

Answers

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

HELP, thanks, If a triangle has a side length of 8 inches, and another side length of 5 inches, which of the
following choices for the third side length will make a triangle?
a. 7 inches
b. 2 inches
c. 13 inches
d. 15 inches

Answers

Answer:

a. 7

Step-by-step explanation:

So a triangle a two sides that will always sum up to be greater than the third side.

Meaning:

a + b > c

a + c > b

b + c > a

So here, we're given a and b:

8 + 5 > c

8 + c > 5

5 + c > 8

Plug in the values:

13 > 7

15 > 5

12 > 8

These are all true, so it's probably 7.

13 > 2

10 > 5

7 > 8 This one is not true, so not 2.

13 > 13 This is not true, so not 13.

If not 13, we can't go any higher and so it can't be 15.

21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24

Answers

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

Can someone help me with this. Will Mark brainliest.

Answers

False hope that helps

Answer:

False

Step-by-step explanation:

because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

:))

Iplease need help will mark brainliest

Answers

Answer:

6. xint=-7

    yint=-3

7. xint=-7

yint=-5

Step-by-step explanation:

Answer:

6. (-7,-3)

7. (-7,-6)

Them are the coordinates

On a quiz show, the contestant who gets the answer correct in the shortest amount of time wins. The host asks for the solution to 49+83+51. Contestant number one quickly found the sum of 49 and 51 to be 100, then added 83 to get 183. Which property did the contestant use?

Answers

Answer:

The contestant used commutive property!

Step-by-step explanation:

The commutative property of addition simply means that it does not matter in which order we add numbers together. Subtraction is not commutative. This means that the order of the numbers in the subtraction matters.

Please mark me brainliest!

Helpp! Pls. I am desperate i will mark brainliest

Answers

C) x > 3

It’s the only choice that is absolute, the others are only possible but not be true.
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