SOLUTION: flat-panel monitor are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 the area would be increased by 150 in. squ
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Question 321129: flat-panel monitor are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 the area would be increased by 150 in. squared. What are the length and width of the flat panel.
This is from beginning algebra book tenth edition, chapter 6.6 applications of quadratic equations. Do I need to solve this problem with the formula P=2L+2W or A=LW, then move into standard form. Once it's in standard form I can figure out the problem. Please Help! Not sure how to write out the problem.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let
represent the original width. Then
must represent the original length.
The original area is then the original length times the original width:
The increased length must then be
and the decreased width must then be
, so the new area must be:
and this is
larger than the original area, so:
And then in standard form:
And you should be off to the races.
John

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