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

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