# Math

If one side of a square is increased by 2 inches and an adjacent side is decreased by 2 inches, the area of the resulting rectangle is 32 square inches. Find the length of one side of the square.

1. 0
2. 0
1. a = length of one side of the square

W = Rectangle width

H = Rectangle height

A = Rectangle area

W = a + 2

H = a - 2

A = W * H

A = ( a + 2 ) * ( a - 2 ) = 32

32 = a ^ 2 + 2 a - 2 a - 4

32 = a ^ - 4 Add 4 to both sides

32 + 4 = a ^ - 4 + 4

36 = a ^ 2

a = sqrt ( 36 ) = 6

The length of one side of the square = 6 in

posted by Bosnian
2. 6 inch

posted by Ayah

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