The width of a rectangle is 2 inches less than its length. Find the length and width if the area of the rectangle is 35 inches wide. x = length
x  2 = width {width is 2 less than length} Area = length x width x(x  2) = 35 {area is length x width} x²  2x = 35 {used distributive property} x²  2x  35 = 0 {subtracted 35 from each side} (x  7)(x + 5) = 0 {factored into two binomials} x  7 = 0 or x + 5 = 0 {set each factor equal to 0} x = 7 or x = 5 {solved each equation for x} x = 7 {length cannot be negative} x  2 = 5 {substituted 7, in for x, into x  2} length is 7 in. and width is 5 in.  Algebra House
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