SOLUTION: A rectangular picture frame measures 20cm by 30cm. A new frame is to made by increasing each side length by the same amount. The resulting enclosed area is to be 1064cm squared. Fi

Question 241648: A rectangular picture frame measures 20cm by 30cm. A new frame is to made by increasing each side length by the same amount. The resulting enclosed area is to be 1064cm squared. Find the dimensions of the new picture frame.
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
We can make an equation that would fit the description like this:
(20+x)(30+x)=1064 Multiply this out looks like:
x^2+50x+600=1064 Subtract both sides by 1065 gives us:
x^2+50x-464=0 This can be factored as:
(x-8)(x+58)=0 Therefore the answers are:
x=8
x=-58 -58 won't make sense so 8 cm is the answer.
Plug 8 cm into the original equation and it should be correct.
RJ Toftness
www.math-unlock.com
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