Question

The area of a rectangle is 507 centimeters squared. The length is 3 times the width. What is the length of the rectangle? 1) 3 cm 2) 13 cm 3) 26 cm 4) 39 cm

Answer 1

option 4

Explanation:

the area (A) of a rectangle is calculated as

A = length × width

let width be w then length = 3w ( 3 times the width )

given A = 507

substitute these values into the formula for A

507 = 3w × w , that is

507 = 3w² ( divide both sides by 3 )

169 = w² ( take square root of both sides )

`√(169)` =
`√(w^2)` , that is

13 = w

Then

length = 3w = 3 × 13 = 39 cm