Question

7. You are painting a large wall mural. The wall length is 3 times the height. The

area of the wall is 300 ft?.
a. What are the dimensions of the wall?
b. If each can of paint covers 22 ft?, will 12 cans be enough to cover the wall?

Answer 1

The wall length is 3 times the height.

The area of the wall is 300 sq. ft.

Height H = X

Length L = 3X

Area S = H x L = X x 3X = 300

3(X x X) = 300

X x X = 300/3 = 100

X = 10

a. What are the dimensions of the wall?

Height H = X = 10 ft

Length L = 3X = 30 ft

b. If each can of paint covers 22 sq. ft?, will 12 cans be enough to cover the wall?

12 cans will cover 22 x 12 = 264 sq. ft

The mural is 300 sq. ft.

So, 12 cans is not enough. You will need 14 cans.