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The area and the perimter of a rectangle are both 18 18m and 18msquared what is the length and width of the rectangle can you find any other rectangles with equal perimeter and length

 Mar 4, 2021
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\(l\times w=18\)

\(l+w=18\)

\(l=18-w\)

\(l\times w=(18-w)\times w=18w-w^2=18\)

\(0={w^2}-18w+18\)

\(w=\frac{{18+\sqrt{18^2-4\times 1\times 18}}}{2}\)

\(w=9+3\sqrt{7}\)

\(l=18-w=18-(9+3\sqrt{7})=9-3\sqrt{7}\)

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 Mar 4, 2021

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