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Let the length be (2x+75) and the width be x:

length*width = area in square yards

(2x+75)*x = 4050

2x2+75x-4050 = 0

Solving the above quadratic equation works out as:

x = -67.5 or x = 30 it must be the latter because dimensions can't be negative.

Therefore: length = 135 yards and width = 30 yards

Check: 135*30 = 4050 square yards

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Q: The length of a rectangular field is 75 yards longer than twice the width If the area of the field is 4050 square yards what is the length and width of the field?
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