SOLUTION: The length of a rectangular scarf is 9 inches more than five times its width. The area of the scarf is 308 square inches. Determine the length and width of the scarf?

Question 80703: The length of a rectangular scarf is 9 inches more than five times its width. The area of the scarf is 308 square inches. Determine the length and width of the scarf?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The length of a rectangular scarf is 9 inches more than five times its width. The area of the scarf is 308 square inches. Determine the length and width of the scarf?
------------
Let the width be "x" inches.
Length = "5x+9" inches
-------------
Area = width * length
Area = x * (5x+9) = 308
5x^2+9x-308=0
x=[-9+-sqrt(81-4*5*-308)]/10
x=[-9+-sqrt6241]/10
x=[-9+-79]/10
Positive Answer: x=7 inches (this is the width of the scarf)
5x+9 = 44 inches (this is the length of the scarf)
===========
Cheers,
Stan H.
RELATED QUESTIONS
the length of a rectangular board is 9 inches more than its width, the area is 112 square (answered by ikleyn)

[ The length of a rectangle is 7 inches more than 5 times its width, the area is 108... (answered by TimothyLamb)

the length of a rectangular garden is 6 inches more than its width this area of the... (answered by addingup)

the length of A rectangular flower bed is 10 inches more than it's width , its area is... (answered by Alan3354)

the length of a rectangular board is 9 inches more than its width, the area is 112 square (answered by jim_thompson5910,MathTherapy)

The length of a rectangle is 9 inches more than the width. Its area is 112 square inches. (answered by drj)

The length of a rectangular sheet of paper is 4 inches more than twice its width. If the... (answered by Cromlix)

The length of a rectangular poster is 3 inches more than three times its width. Find the... (answered by macston)

The length of a table is 13 inches more than its width. If the area of the table is 1598... (answered by ankor@dixie-net.com)