If the area of a rectangle is 864 sq ft and the width is 2/3 it's length,what is the length?
length = \(l\)
width = w = \(\frac{2}{3}\cdotl\)
\(l\cdot\frac{2}{3}l = 864\)
\(\frac{2}{3}l^2 = 864\)
\(l^2 = 864\cdot\frac{3}{2}\)
\(l^2 = 1296\)
\(\boxed{l=36}\)
\(w=\frac{2}{3}\cdot36\)
\(\boxed{w=24}\)
\(\frac{2}{3}x*x= \frac{2}{3} x^{2}\)
\(\frac{2}{3} x^{2} =864\)
\(x^{2} = 1296\)
\(x=36\)
\(\frac{2}{3}(36)=24\)
\(Length=36\)
\(Width=24\)