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Let the length be x+6 and the width be x:

(x+6)*x = 72

x2+6x = 72

x2+6x-72 = 0

Solving the above equation with the quadratic equation formula will give:

x = -12 or x = 6, so x must be the latter because dimensions can't be negative.

Therefore: length = 12 m and width = 6 m

Check: 12*6 = 72 square meters

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Q: The length of a rectangle is 6 m greater than the width The area is 72 m squared Find the length and width?
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