Question

a pasture is three times as long as it is wide. its area is 218,700 ft2. how wide (in ft) is the pasture?

Answer 1

width = 270 ft

Explanation:

the area (A) of a rectangle is calculated as

A = length × width

let width be w , then length = 3w ( three times as long as width )

substitute into formula for A

A = 3w × w = 3w²

given A = 218,700 , then

3w² = 218,700 ( divide both sides by 3 )

`(3)/(3)` w² =
`(218,700)/(3)` , that is

w² = 72,900 ( take square root of both sides )

`√(w^2)` =
`√(72,900)` , then

w = 270

the width of the pasture w = 270 ft