document.write( "Question 1017898: The lenght of a reactangle is 9 cm more than four times the width. The area of the rectangle is 198 cm2. Find the lenght and width \n" ); document.write( "

Algebra.Com's Answer #634174 by KMST(5328) $\"\"$ $\"About$

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Once we have $\"x%284x%2B9%29=198\"$ ,
\n" ); document.write( "we can find the answer the fifth grader's way,
\n" ); document.write( "much to the dismay of the algebra teacher who wants to see quadratic equations mentioned.
\n" ); document.write( "We can just list factors of $\"198\"$ ,
\n" ); document.write( " $\"198=1%2A198\"$
\n" ); document.write( " $\"198=2%2A99\"$
\n" ); document.write( " $\"198=3%2A66\"$
\n" ); document.write( " $\"198=6%2A33\"$
\n" ); document.write( " $\"198=9%2A22\"$
\n" ); document.write( " $\"198=11=18\"$ ,
\n" ); document.write( "and look for a product pair that could be $\"x%284x%2B9%29\"$ .
\n" ); document.write( " $\"9%2A22\"$ is too far down because $\"22%3C4%2A9=36\"$ .
\n" ); document.write( "Could it be that $\"x=6\"$ ?
\n" ); document.write( "If $\"x=6\"$ , then $\"4x%2B9=4%2A6%2B9=24%2B9=33\"$ .
\n" ); document.write( "So, $\"system%28x=6%2C4x%2B9=33%29\"$ ;
\n" ); document.write( "the length is 33cm and the width is 6cm.
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