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You need to write two equations with two variables each, for the two facts. Remembering that the perimeter is the sum of the lengths of all the sides:Write an equation for the perimeter of the original rectangle:

perimeter = 2(length + width)

26 = 2(l+w) (equation 1)


Write an equation for the area of the increased rectangle:

A = length x width

A = (l+4)(w+3) (equation 2)


Solve the two equations simultaneously; and you'll get the width and length of the original rectangle.

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Q: If the perimeter of a rectangular closet is 26 feet. If the length is increased by 4 feet and the width is increased by 3 feet the area of the closet will be 96 square feet. Find the dimensions?
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