The length of a rectangle is 9 inches more than 3 times the width. If the area of the rectangle is 264 square inches, find the length and the width

Answer 1

264 = x(3x+9)

264 = 3x^2 + 9x

0 = 3x^2 + 9x - 264

0 = x^2 + 3x - 88

0 = ( x + 11 )( x - 8 )

x+11=0 results in negative measures

x-8=0 ---> x = 8

width is 8

length is 3(8)+9 = 24+9 = 33