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If the length of a rectangle is 3 more than its width and the area of the rectangle is 154 square inches, then what are the dimensions of the rectangle?

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1 Answer

The width of the area can be called x. Therefore, the length can be expressed as (x + 3).
 
x(x + 3) = 154
 
x² + 3x = 154
 
x² + 3x - 154 = 0
 
(x - 11)(x + 14) = 0
 
The only solution to this equation that we are concerned with is x = 11, because dimensions cannot be negative.
 
Therefore, the width of the rectangle is 11 in. and the length = 14 in.