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Let the width be x and the length be x+10:

x(x+10) = 144 square feet

Multiply out the brackets and bring over 144 to the LHS which will give you a quadratic equation to solve:

x2+10x-144 = 0

Factorising the equation:

(x+18)(x-8) = 0

Therefore: x = -18 or x = 8

Obviously x must be 8

So the dimensions are: width = 8 feet and length = 18 feet

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Q: What is the dimensions of a rectangular surface when the length is 10 feet more than the width and the area is equal to 144?
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