Problema Solution
The length of a rectangular banner is 4ft. longer than its width. If the area is 96 square ft, find the dimensions.
Answer provided by our tutors
Let width is X ft
Then length is (X+4)ft
Area of rectangle =length * width
Substitute the value
X*(X+4) = 96
X2+4X=96
X2 +4X-96=0
Solving equation
X2+12X-8X-96=0
X(X+12)-8(X+12)=0
(X+12) (X-8)=0
EQUATTING BOTH THE ROOTS
X+12=0
X= -12
SIDE LENGTH CAN NOT BE NEGATIVE
X-8=0
X=8 THIS IS THE LENGTH OF RECTANGLE