Question

A. The perimeter of the rectangle below 15 66 units. Find the length of side CD.

Write your answer without variables

Answer 1

CD = 14 units

Explanation:

AB = 2x, BC = 3x - 2

Perimeter of rectangle = 66 units

`\therefore2(2x + 3x - 2) = 66 \\ \\ \therefore(5x - 2) = (66)/(2) \\ \\ \therefore(5x - 2) = (66)/(2) \\ \\ \therefore(5x - 2) = 33 \\ \\ \therefore 5x = 33 +2 \\ 5x = 35 \\ \\ x = (35)/(5) \\ \\ x = 7 \\ \\ \because \: CD = AB \\ (Opposite \: sides \: of \: a \: rectangle) \\</p><p>\because AB = 2x=2* 7= 14\\</p><p> \huge{ \red{ \boxed{\therefore CD = 14 \: units}}}`