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?

Question

I need help solving this

Answer 1

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.