35.7k views
1 vote
the basement has an area of 864 square feet. the width of the basement is two thirds its length. What is the length of the basement?

User TJB
by
7.8k points

2 Answers

4 votes

Area=Length*Width \\ A=LW \\ 864=( (2)/(3)L )L \\ 864= (2)/(3)L^(2) \\ 1296=L^(2) \\ L= √(1296) \\ \boxed{Length=36\ feet}
User Alejandro Alcalde
by
9.1k points
1 vote
A = 864
w = 2/3l

A = lw

Plug in what we know:

864 = l(2/3l)

Multiply:

864 = 2/3l^2

Divide 2/3 to both sides or multiply by its reciprocal, 3/2:

864 * 3/2 = l^2

2592/2 = l^2

1296 = l^2

Find the square root of both sides:

l = 36

So the length of the basement is 36 feet.
User Roger Creasy
by
8.4k points