SOLUTION: The Phillips paper company makes rectangular pieces of cardboard for packing computers. The sheets of cardboard are to have an area of 99 square inches, and the length of the sheet

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Question 999096: The Phillips paper company makes rectangular pieces of cardboard for packing computers. The sheets of cardboard are to have an area of 99 square inches, and the length of the sheet is to be 5 inches more than 2/3 it's width. Determine the length and width of the cardboard to be manufactured.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The Phillips paper company makes rectangular pieces of cardboard for packing computers.
The sheets of cardboard are to have an area of 99 square inches,
L*W = 99
and the length of the sheet is to be 5 inches more than 2/3 it's width.
L = 2%2F3W + 5
Determine the length and width of the cardboard to be manufactured.
In the first equation, replace L with (2%2F3W+5)
(2%2F3W+5)* W = 99
2%2F3W^2 + 5W = 99
2%2F3W^2 + 5W - 99 = 0
Get rid of the fraction, multiply by 3
2W^2 + 15W - 297 = 0
Using the quadratic formula; a=2; b=15; c=-297, I got a positive solution
W = 9 inches is the width
then
L = 2%2F3*9 + 5
L = 11 inches is the width
:
:
Check: 11 * 9 = 99