A rectangle field has its length 3 times as its width. If its area is 243 sq. m. Find its perimeter?

A rectangle field has its length 3 times as its width. If its area is 243 sq. m. Find its perimeter?

Explanation

Let's denote the width as w.

Given the length is 3 times the width:

Length = 3w

Area = Length × Width

243 = 3w × w

243 = 3w^2

Dividing both sides by 3:

w^2 = 81

w = 9

Length = 3w = 3 × 9 = 27

Perimeter = 2(Length + Width)

= 2(27 + 9)

= 2 × 36

= 72