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If width of a rectengle is 2 inches less than its length and the area is 35 square inches what are the length and the width of the rectangle?
Let the width be (x-2) and the length be x:
width*length = area
(x-2)*x = 35 square inches
x2-2x = 35
x2-2x-35 = 0
Solving the above quadratic equation works out as:
x = -5 or x = 7 it must be the latter because dimensions can't be negative
Therefore: length = 7 inches and width = 5 inches
Check: 7*5 = 35 square inches
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