document.write( "Question 838167: 2 consecutive sides of a rectangle are in the ratio 5 to 7. the area is 140 cm. find the dimensions of rectangle \n" ); document.write( "

Algebra.Com's Answer #504885 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the short side of the rectangle
\n" ); document.write( "Let $\"+b+\"$ = the long side of the rectangle
\n" ); document.write( "Set up the ratio:
\n" ); document.write( "(1) $\"+5%2F7+=+a%2Fb+\"$
\n" ); document.write( "You are given that:
\n" ); document.write( "(2) $\"+a%2Ab+=+140+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+7b+\"$
\n" ); document.write( "(1)) $\"+5b+=+7a+\"$
\n" ); document.write( "and
\n" ); document.write( "Divide both sides of (2) by $\"+a+\"$
\n" ); document.write( "(2) $\"+b+=+140%2Fa+\"$
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+5%2A%28140%2Fa%29+=+7a+\"$
\n" ); document.write( "(1) $\"+5%2A140+=+7a%5E2+\"$
\n" ); document.write( "(1) $\"+a%5E2+=+5%2A20+\"$
\n" ); document.write( "(1) $\"+a%5E2+=+100+\"$
\n" ); document.write( "(1) $\"+a+=+10+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+b+=+140%2Fa+\"$
\n" ); document.write( "(2) $\"+b+=+140%2F10+\"$
\n" ); document.write( "(2) $\"+b+=+14+\"$
\n" ); document.write( "The sides are 10 cm and 14 cm\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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