The width of a rectangle is 3 inches less than its length the area of the rectangle is 340 square inches what are the length and width of the rectangle?

Let the width be (x-3) and the length be x:

width*length = area

(x-3)*x = 340 square inches

x2-3x-340 = 0

Solving the above quadratic equation works out as:

x = -17 or x = 20 it must be the latter because dimensions can't be negative.

Therefore: length = 20 inches and width = 17 inches

Check: 20*17 = 340 square inches