document.write( "Question 544706: A length of the photograph is 7 cm longer than the width. Its area is 30 cm^2. Find the length and the width. \n" ); document.write( "

Algebra.Com's Answer #355198 by JBarnum(2146) $\"\"$ $\"About$

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$\"A=L%2AW\"$ area=length times width
\n" ); document.write( "A=30
\n" ); document.write( "L=7+w\r
\n" ); document.write( "\n" ); document.write( " $\"30=%287%2Bw%29%28w%29\"$
\n" ); document.write( " $\"30=7w%2Bw%5E2\"$
\n" ); document.write( " $\"w%5E2%2B7w-30=0\"$ find two numbers that multiply to get -30 and add to get +7: +10 and -3, 10(-3)=-30, 10-3=7
\n" ); document.write( " $\"%28w%2B10%29%28w-3%29=0\"$ solve
\n" ); document.write( " $\"w=-10\"$ $\"w=3\"$ width cant be negative
\n" ); document.write( " $\"highlight%28w=3%29\"$
\n" ); document.write( " $\"L=7%2B%283%29\"$
\n" ); document.write( " $\"highlight%28L=10%29\"$ \n" ); document.write( "

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