Question

A rectangle has the perimeter of 46 cm. If one side of the rectangle is 3cm longer than another side, what is the area of the rectangle?

A)130cm^2
B)70cm^2
C)460^2
D)340cm^2

Answer 1

A

Explanation:

the area (A) of a rectangle is calculated as

A = length × width

let the width be w then length is w + 3

the opposite sides of a rectangle are congruent

given perimeter = 46 , then

2w + 2(w + 3) = 46 ← distribute parenthesis on left side and simplify

2w + 2w + 6 = 46

4w + 6 = 46 ( subtract 6 from both sides )

4w = 40 (divide both sides by 4 )

w = 10

thus width = 10 cm and length = w + 3 = 10 + 3 = 13 cm

substituting values into formula for area (A)

A = 13 × 10 = 130 cm²