SOLUTION: A rectangle has an area of 369 369 square inches and a length which is five inches more than four times the width. Find the length and the width of the rectangle.

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Question 1126306: A rectangle has an area of 369
369
square inches and a length which is five inches more than four times the width. Find the length and the width of the rectangle.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let a length be L and width W
A rectangle has an area A=L%2AW....
given:
A=369in%5E2=>369in%5E2=L%2AW
a length which is five inches more than four times the width, so we have
L=4W%2B5in....eq1

369=L%2AW...substitute L
369=%284W%2B5%29%2AW
369=4W%5E2%2B5W
4W%5E2%2B5W-369=0
%28W+-+9%29+%284+W+%2B+41%29+=+0
we need only positive solution:
%28W+-+9%29+=+0=>highlight%28W+=9in%29

go to
L=4W%2B5in....eq1 plug in W
L=4%2A9in%2B5in
L=36in
highlight%28L=41in%29