Question

The table shows the dimensions of 4 different rectangles. Each rectangle has an area of 36 square centimeters.

Which rectangle has an area of 36 square centimeters and a perimeter of 26?




A.
W

B.
X

C.
Y

D.
Z

Answer 1

D. Rectangle Z. 4*2 + 9*2 = 26

Answer 2

Hello!


The formula for perimeter is 2L + 2W = P

The formula for area is L * W = A

We are looking for a rectangle with a perimeter of 26 and an area of 36.

To solve these, we will plug in the numbers into the equations.


Let's try W first.

2 * 6 + 2 * 6 = 24

6 * 6 = 36

While the area is correct, the perimeter is not. Therefore, this isn't the right rectangle.


Now, let's try X.

2*2 + 2*18 = 40

2 * 18 = 36

While the area is correct, the perimeter is not. Therefore, this isn't the right rectangle.


Now, we will try Y.

2 * 3 + 2* 12 = 30

3 * 12 = 36

While the area is correct, the perimeter is not. Therefore, this isn't the right rectangle.


Finally, let's try Z.

2 * 4 + 2 * 9 = 26

4 * 9 = 36

This is the correct rectangle.


The answer is D. Z