document.write( "Question 15094: Find the dimensions of a rectangle whose perimeter is 578 cm if the ratio of length to width is 9 : 8. \n" ); document.write( "

Algebra.Com's Answer #7499 by bam878s(77) $\"\"$ $\"About$

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we know perimeter is the sum of the 2 lenghts plus the sum of the two widths.
\n" ); document.write( "We know 2(9)x + 2(8)x = 578.
\n" ); document.write( "18x + 16x = 578.
\n" ); document.write( "34x = 578
\n" ); document.write( "x = 17
\n" ); document.write( "so the length is 9*17 = 153
\n" ); document.write( "and the width is 8*17 = 136
\n" ); document.write( "Note: $\"153%2F136\"$ = $\"9%2F8\"$
\n" ); document.write( "and 153*2 + 136*2 = 578 just like we wanted
\n" ); document.write( " \n" ); document.write( "

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