Find the answer in units.

Question

given the length of the rectangle. The area is 4x^3-19x^2-54x-30 sq. units. find the answer in units. L=4x+5

Answer 1

Rectangle length  = 4x + 5 units

Rectangle area = length(width)

A  = 4x ^3 - 19x ^2 - 54x - 30 squre units.

4x ^3 - 19x ^2 - 54x - 30 = 4x + 5(width)

Width = (4x ^3 - 19x ^2 - 54x - 30) / (4x + 5)

4x + 5 ) 4x ^3 - 19x ^2 - 54x - 30 ( x ^2 - 6x - 6

           4x ^3 + 5x ^2

         (-)    (-) 

      ________________________

               -24x ^2 - 54x

              -24x ^2 - 30x

             (+)      (+)

          ______________________

                      -24x - 30

                      -24x - 30

                     (+)    (+)

               ______________________

                           0

Width of rectangle = x ^2 - 6x - 6 units.