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Let length be denoted by l, and width by w.

Length is 4 ft more than twice the width

=> l = 2w + 4

five times the width is the same as twice the length increased by 10 feet.

=>5w = 2l + 10

Solving the two equations we get

l = 40

w = 18

So, the rectangle is 40 ft long and 18 ft wide.

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