Question

Carter plans to wallpaper the longest wall in his wall paper. The wall is twice as long as it is high and has a area of 162 feet. What is the height of the wall

Answer 1

9 ft

Explanation:

The wall has the shape of a rectangle. Let H represent the height of the wall. Then, in terms of H, the length is 2H.

The area of the wall is given: 162 ft. This is equal to A = H(2H), or 2H^2.

Equating 162 ft and 2H^2, we get H^2 = 81, so that H must be 9 ft.