Question

What is the combined perimeter of these two rectangles?

A) 6x + 14
B) 12x + 24
C) 12x + 26
D) 24x + 52

Answer 1

The Answer is D) 24x + 52

Explanation:

Find the perimeter of each rectangle and then add them together. The perimeter of the first rectangle is 12x + 24 and the perimeter of the second rectangle is 12x + 28. The combined perimeter is 24x + 52

Answer 2

D) 24x + 52

Explanation:

The perimeter of the purple rectangle is

P =2(l+w)

=2 (4x+5 + 2x+7)

Combine like terms

=2 (6x+12)

Distribute

= 12x +24

The perimeter of the white rectangle is

P =2(l+w)

P =2(3x+14 +3x)

Combine like terms

=2(6x+14)

Distribute

12x +28

Add the perimeters

12x +24 + 12x +28

24x +52