Question

Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 13 of its length. What is the length and the height of the wall?

Answer 1

l=30ft

h=10ft

Explanation:

Area 'A' is defined as the product of length and height

`A=lh=300ft^2\\h= (1)/(3) l`

`\\300=l( (1)/(3)l)\\300=(1)/(3) l^(2)\\900=l^(2)\\30=l\\l=30ft\\\\h= (1)/(3)(30)\\h=10ft`

Thus, the length and the height of the wall is 30 ft and 10 ft respectively.