Leo wants to paint a mural that covers a wall with an area of 800 square feet. The height of the wall is 1 / 2 of its length. What is the length and the height of the wall?

Area. = length x height

Let x = Length

The height is 1/2x

800 = x * 1/2x

Simplify:

800 = 1/2x^2

Multiply both sides by 2:

1600 = x^2

Take the square root of both sides:

X = sqrt (1600)

X = 40

1/2x = 20

Length = 40 feet

Height = 20 feet