Part 1:

The length of a rectangle is 4/3 its width, w.

Which expression represents the perimeter of the rectangle?

Answer Choices:

a. 4/3w+2w


b. 4(4/3w+w)


c. 4×4/3w


d. 2(4/3w+w)


Part 2:

The perimeter of the rectangle from Part 1 is 28 inches.

What is the area of the rectangle, in square inches?

Answer :

P = 2(L + W)
L = 4/3W

P = 2(4/3W + W) <=== part 1 is D

when P = 28
28 = 2(4/3W + W)
28/2 = 4/3W + 3/3W
14 = 7/3W
14 / (7/3) = W
14 * 3/7 = W
42/7 = W
6 = W....width is 6 inches

L = 4/3W
L = 4/3(6)
L = 24/3
L = 8....length is 8 inches

A = L * W
A = 8 * 6
A = 48 in^2 <==== part 2

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