Answer :
[tex]Area=Length*Width \\ A=LW \\ 864=( \frac{2}{3}L )L \\ 864= \frac{2}{3}L^{2} \\ 1296=L^{2} \\ L= \sqrt{1296} \\ \boxed{Length=36\ feet} [/tex]
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.
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.
