Question

The length of a rectangle is 2 cm more than 5 times the width. If the perimeter of the rectangle is 28 cm, what are the dimensions?

Answer 1

28 = 2(5x+2) + 2x
28 = 10x + 4 + 2x
28 = 12x + 4
24 = 12x
x=2

so the answer is A

Answer 2

A

Explanation:

The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

28 = 2(5x+2) + 2x

28 = 10x + 4 + 2x

28 = 12x + 4

24 = 12x

x = 2

Therefore, the width of the rectangle is 2 cm, and the length is 5(2) + 2 = 12 cm. The correct answer is A. Width = 4 cm and Length = 10 cm.