Problema Solution
The length of a rectangular banner is 6 feet longer that its width. If the area is 72 square feet, find the dimensions.
Answer provided by our tutors
Let width be Xft. Then length will be (X+6)ft.
Area of the rectangle = (X)(X+6) = 72
(X)(X+6) = 72
X^2+6x-72 = 0
X^2+12X-6X-72 = 0
X(X+12)-6(X+12) = 0
(X+12)(X-6) = 0
X = -12 or X = 6
Since dimensions are positive X = 6.
Widtth = 6ft
Length = 6+7 = 13ft