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Let the length be x+4 and the width be x:-

length*width = area

(x+4)*x = 96 square meters

Multiply out the brackets and subtract 96 from both sides thus forming a quadratic equation:-

x2+4x-96 = 0

Solving the equation using the quadratic formula gives x a positive value of 8

Therefore: length = 12 meters and width = 8 meters

Check: 12*8 = 96 square meters

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Q: The length of a rectangle is 4 meters greater than the width. The area of the rectangle is 96 meters square. Find the length and width.?
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