document.write( "Question 964543: The length of a recrangle exceeds its width by 6cm. If each dimensions were increased by 3 cm, the area would be increased by 57. Sq cm. find the dimensions \n" ); document.write( "

Algebra.Com's Answer #589401 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "W=width; L=length=W+6cm
\n" ); document.write( " $\"%28W%2B3cm%29%28L%2B3cm%29=WL%2B57cm%5E2\"$ Substitute for L.
\n" ); document.write( " $\"%28W%2B3cm%29%28W%2B6cm%2B3cm%29=W%28W%2B6cm%29%2B57cm%5E2\"$
\n" ); document.write( " $\"%28W%2B3cm%29%28W%2B9cm%29=W%5E2%2B6W%2B57\"$
\n" ); document.write( " $\"W%5E2%2B12W%2B27=W%5E2%2B6W%2B57\"$
\n" ); document.write( " $\"12W%2B27=6W%2B57\"$
\n" ); document.write( " $\"6W=30\"$
\n" ); document.write( " $\"W=5cm\"$ ANSWER 1: The width is 5 cm.
\n" ); document.write( " $\"L=W%2B6cm\"$ = $\"5cm%2B6cm=11cm\"$ ANSWER 2: The length is 11 cm,
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%28L%2B3cm%29%28W%2B3cm%29=LW%2B57cm%5E2\"$
\n" ); document.write( " $\"%2811cm%2B3cm%29%285cm%2B3cm%29=%2811cm%29%285cm%29%2B57cm%5E2\"$
\n" ); document.write( " $\"%2814cm%29%288cm%29=55cm%5E2%2B57cm%5E2\"$
\n" ); document.write( " $\"112cm%5E2=112cm%5E2\"$ \n" ); document.write( "

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