document.write( "Question 183666: an american flag measures 20 inches by 8 inches. What are the dimensions of an american flag with four times the area of the original flag and its dimensions in the same proportion as the original flag? \n" ); document.write( "

Algebra.Com's Answer #137864 by josmiceli(19441) $\"\"$ $\"About$

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$\"8%2F20+=+2%2F5\"$
\n" ); document.write( " $\"A%5B1%5D+=+20%2A8\"$ in2
\n" ); document.write( " $\"A%5B1%5D+=+160\"$ in2
\n" ); document.write( " $\"A%5B2%5D+=+4%2A160\"$ in2
\n" ); document.write( " $\"A%5B2%5D+=+640\"$ in2
\n" ); document.write( "Let the dimensions of the new flag = $\"a\"$ and $\"b\"$
\n" ); document.write( " $\"a%2Fb+=+2%2F5\"$
\n" ); document.write( "multiply both sides by $\"5b\"$
\n" ); document.write( " $\"5a+=+2b\"$
\n" ); document.write( " $\"a+=+%282%2F5%29%2Ab\"$
\n" ); document.write( " $\"A%5B2%5D+=+a%2Ab\"$
\n" ); document.write( " $\"A%5B2%5D+=+%282%2F5%29%2Ab%2Ab\"$
\n" ); document.write( " $\"640+=+%282%2F5%29%2Ab%5E2\"$
\n" ); document.write( " $\"b%5E2+=+%285%2F2%29%2A640\"$
\n" ); document.write( " $\"b%5E2+=+1600\"$
\n" ); document.write( " $\"b+=+40\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"a+=+%282%2F5%29%2Ab\"$
\n" ); document.write( " $\"a+=+%282%2F5%29%2A40\"$
\n" ); document.write( " $\"a+=+16\"$
\n" ); document.write( "The dimensions of the new flag are 40 in by 16 in \n" ); document.write( "

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