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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