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 1,000 m2. What is the approximate width of her backyard?

A = lw
11.2 m
15.8 m
22.4 m
44.8 m

Answer 1

Let width = w, length = 2w. Area = lw = 2w^2 = 1000, so w^2 = 500 and w = √500 = 10√5 ≈ 22.36 m.

Closest choice: 22.4 m.