Question

The length and width of a rectangle are consecutive integers. The perimeter of the

rectangle is 54 centimeters. Find the length and width of the rectangle.

Answer 1

length = 13 cm , width = 14 cm

Explanation:

let the length be n , then the width is n + 1

the perimeter (P) of a rectangle is calculated as

P = 2(l + w) ← l is the length and w the width

given P = 54 , then

2(n + n + 1) = 54 ( divide both sides by 2 )

2n + 1 = 27 ( subtract 1 from both sides )

2n = 26 ( divide both sides by 2 )

n = 13

n + 1 = 13 + 1 = 14

so, length = 13 cm and width = 14 cm