Question 249878: The length of the top of a table is 5ft greater than the width. Find the length and the width if the area is 84ft^2 Answer by tutorcecilia(2152) (Show Source):
You can put this solution on YOUR website! Area = (length)(width)
A=84 sq. ft.
84=(w+5)(w)
84=w^2+5w [multiply terms]
84-84=w^2+5w-84 [move all of the terms to one side of the equation]
0=w^2+5w-84
(x+12)(x-7)=0[Factor]
.
x+12=0 [set each factor equal to zero]
x=-12 [solve for "x"]
.
x-7=0
x=7
.
Solutions: x= -12,7
