The area of a rectangle is 63 m^2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

## The area of a rectangle is 63 m^2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

The area of a rectangle is 63 m^2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

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# 1 Answer

(2w + 5)w = 63

2w

^{2}+ 5w = 632w

^{2}+ 5w - 63 = 0(2w - 9)(w + 7) = 0

so, (2w - 9) = 0 or (w + 7) = 0

we only use (2w - 9) = 0 because w is positive here

2w = 9 ---> w =

**9/2 meters**