Question

A rectangle has a perimeter of 32 meters. If the width is 4 meters shorter than the length, find the dimensions (length and width) of the rectangle. Length =__ meters Width = ___meters

Answer 1

length = 10 m , width = 6 m

Explanation:

the perimeter (P) of a rectangle is calculated as

P = 2(length + width)

let l represent the length, then the width w is l - 4

given P = 32 , then

2(l + l - 4) = 32

2(2l - 4) = 32 ( divide both sides by 2 )

2l - 4 = 16 ( add 4 to both sides )

2l = 20 ( divide both sides by 2 )

l = 10

and w = l - 4 = 10 - 4 = 6

length = 10 m and width = 6 m