document.write( "Question 269822: Please help me solve the following word problem: A picture frame measures 12 centimeters by 20 centimeters. 48 cm^2 of the picture shows inside the frame. Find the length and width of the inside of the frame. \n" ); document.write( "

Algebra.Com's Answer #197673 by drk(1908) $\"\"$ $\"About$

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Assume that the 48 cm^2 is centered in the picture. We get
\n" ); document.write( "(i) $\"%2820-2x%29%2812-2x%29+=+48\"$
\n" ); document.write( "foil the left to get
\n" ); document.write( "(ii) $\"240+-+64x+%2B+4x%5E2+=+48\"$
\n" ); document.write( "set = 0 and in descending order, we get
\n" ); document.write( "(iii) $\"4x%5E2+-+64x+%2B+192+=+0\"$
\n" ); document.write( "factoring, we get
\n" ); document.write( "(iv) $\"%28x-4%29%284x-48%29+=+0\"$
\n" ); document.write( "solving for x, we get
\n" ); document.write( "x = 4
\n" ); document.write( "or
\n" ); document.write( "x = 12
\n" ); document.write( "the dimensions of the inside of the frame are: 4 x 12 \n" ); document.write( "

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