SOLUTION: The length of a rectangle is 4 inches less than twice the width. if the area of the rectangle is 240 sq inches, what is the length and width of the rectangle?
Algebra.Com
Question 112247: The length of a rectangle is 4 inches less than twice the width. if the area of the rectangle is 240 sq inches, what is the length and width of the rectangle?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
LENGTH=2W-4
AREA=L*W
240=(2W-4)W
240=2W^2-4W
2W^2-4W-240=0
2(W^2-2W-120)=0
2(W-12)(W+10)=0
W-12=0
W=12 ANSWER FOR THE WIDTH.
THUS THE LENGTH IS:
2*12-4=24-4=20 FOR THE LENGTH.
ROOF
12*20=240
240=240
RELATED QUESTIONS
Length of a rectangle is 6 inches less than twice the width if the area of the rectangle... (answered by ewatrrr)
the length of a rectangle is 3 inches more than twice its width. its area is 65 inches... (answered by mananth)
The length of a rectangle is 4 cm less than twice the width. If the area is 240 cm2, what (answered by ewatrrr)
A CROSS-SECTIONAL AREA OF A RECTANGLE DUCT IS 240 SQ. IN.IF THE LENGTH IS 5 INCHES LESS... (answered by Boreal)
The length of a rectangle is 2 inches less than three times the width. If the area is 33... (answered by josgarithmetic)
A rectangle is 5 inches longer than it is wide. Find the dimensions of the rectangle if... (answered by Alan3354,josgarithmetic)
The length of a rectangle is 4 inches more than twice the width. If the perimeter is 88... (answered by josgarithmetic,Shin123,ikleyn)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by ewatrrr)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by Nigelyul)