Question

The width of a rectangle is 7 inches less than the length. The perimeter is 46 inches. Find the length and the width. The length is inches and the width is inches.

Answer 1

width = 8 in , length = 15 in

Explanation:

let l represent length then width is l - 7

the perimeter is the sum of the sides of the rectangle

the opposite sides of a rectangle are congruent

the perimeter is calculated as

perimeter = 2(length + width)

given perimeter = 46 , thhen

2(l + l - 7) = 46

2(2l - 7) = 46 ( divide both sides by 2 )

2l - 7 = 23 ( add 7 to both sides )

2l = 30 ( divide both sides by 2 )

l = 15

and width = l - 7 = 15 - 7 = 8

the width = 8 in and the length = 15 in