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

16 can be approximate width and length which is doubled can be 32, multiply and get 512 which is close to 500m^2, you can also try other close related approximate solutions such as 15 and 30, and more, but closest approximate whole numbers would be *16 as width and 32 as length*