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 500 m^ (2). What is the approximate width of her backyard?

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.

l = 2w

A = 1000 m2 = l*w

1000 m2 = 2w * w

500 m2 = w^2

√500 m2 = √w^2

w = 22.360679775 in or 22.36 in