Question 205155: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A rectangular scrapbook page has an area of 180 inches squared.
If the length of the page is two less than twice the width, find the width of the page.
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Let x = the width
it says,"the length of the page is two less than twice the width," therefore;
(2x - 2) = the length
:
Area = width * length, = 180, therfore:
x(2x - 2) = 180
2x^2 - 2x - 180 = 0
A quadratic equation, simplify, divide by 2
x^2 - x - 90 = 0
Factors to:
(x-10)(x+9) = 0
the positive solution is what we want here
x = 10" is the width
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Is this true?
Length = 2(10) - 2 = 18
18 * 10 = 180
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