Question

Alice's backyard is a rectangular piece of property that is

twice as long as it is wide. The total area of her yard is 10,000
m². What is the approximate width of her backyard?
A = lw

Answer 1

width ≈ 70.7 m

Explanation:

let the width be w , then length = 2w

the area (A) of a rectangle is calculated as

A = lw ( l is length and w is width )

given A = 10,000 , then

2w × w = 10,000

2w² = 10,000 ( divide both sides by 2 )

w² = 5,000 ( take square root of both sides )

w =
`√(5,000)` ≈ 70.71 ( to 2 decimal places )

approximate width is 70.7 m ( to 1 decimal place )