A rectangle has a length of 15 feet less than 6 times its width. If the area of the rectangle is 561 square feet, find the length of the rectangle.
w = width
6w  15 = length {length is 15 less than 6 times the width} Area of a rectangle = width x length w(6w  15) = 561 {substituted width and length into area formula} 6w²  15w = 561 {used distributive property} 6w²  15w  561 = 0 {subtracted 561 from each side} w = 11 or 8.5 {used the quadratic formula} Only using the positive measurement for width. 6w  15 = 51 {substituted 11, in for width, into (6w  15) to find the length} width = 11 ft length = 51 ft Ask Algebra House Comments are closed.

Examples
All
