document.write( "Question 1000006: two square rooms have a total floor area of 208 square meters.one room is 4 meters longer each way them thevother.find the floor dimensions of each room \n" ); document.write( "

Algebra.Com's Answer #617542 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "S=side of smaller room
\n" ); document.write( "L=S+4m=side of larger room
\n" ); document.write( ".
\n" ); document.write( " $\"S%5E2%2BL%5E2=208m%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%28S%2B4%29%5E2=208m%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%28S%5E2%2B8S%2B16%29=208m%5E2\"$
\n" ); document.write( " $\"2S%5E2%2B8S%2B16=208m%5E2\"$
\n" ); document.write( " $\"S%5E2%2B4S%2B8=104m%5E2\"$
\n" ); document.write( " $\"S%5E2%2B4S-96=0\"$
\n" ); document.write( " $\"%28S%2B12%29%28S-8%29=0\"$
\n" ); document.write( " $\"S%2B12=0\"$ $\"OR\"$ $\"S-8=0\"$
\n" ); document.write( " $\"S=-12\"$ $\"OR\"$ $\"S=8\"$
\n" ); document.write( "Since the size cannot be negative,
\n" ); document.write( "the sides of the smaller room are 8 meters.
\n" ); document.write( ".
\n" ); document.write( "The sides of the larger room are S+4m = 8m+4m = 12 meters.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"S%5E2%2BL%5E2=208m%5E2\"$
\n" ); document.write( " $\"%288m%29%5E2%2B%2812m%29%5E2=208m%5E2\"$
\n" ); document.write( " $\"64m%5E2%2B144m%5E2=208m%5E2\"$
\n" ); document.write( " $\"208m%5E2=208m%5E2\"$
\n" ); document.write( " \n" ); document.write( "

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