document.write( "Question 221066: the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle \n" ); document.write( "

Algebra.Com's Answer #166043 by sofiyac(983) $\"\"$ $\"About$

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the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle
\n" ); document.write( "lets call width w and length l
\n" ); document.write( " $\"l=7%2B2w\"$
\n" ); document.write( " $\"wl=270\"$
\n" ); document.write( " $\"w%287%2B2w%29=270\"$
\n" ); document.write( " $\"7w%2B2w%5E2-270=0\"$
\n" ); document.write( " $\"2w%5E2%2B7w-270=0\"$ we can factor this equation
\n" ); document.write( " $\"%282w%2B27%29%28w-10%29=0\"$
\n" ); document.write( "because width can't be negative we have to work with (w-10)=0 ONLY so
\n" ); document.write( " $\"w-10=0\"$ add 10 to both sides
\n" ); document.write( " $\"w=10\"$
\n" ); document.write( "so width is 10
\n" ); document.write( " \n" ); document.write( "

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