document.write( "Question 1042115: The length and the width of a rectangular floor a m and b m. Solve for a and b, given the following
\n" ); document.write( "information:
\n" ); document.write( "• If the length and the width each increases with 1 m, the area will increase with 9 m2
\n" ); document.write( ".
\n" ); document.write( "• If the length decreases with 0.5 m and the width increases with 4 m, the area is doubled \n" ); document.write( "
Algebra.Com's Answer #657115 by ankor@dixie-net.com(22740)\"\" \"About 
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The length and the width of a rectangular floor a m and b m.
\n" ); document.write( " Solve for a and b, given the following
\n" ); document.write( "information:
\n" ); document.write( "• If the length and the width each increases with 1 m, the area will increase with 9 m2
\n" ); document.write( "(a+1)*(b+1) = ab + 9
\n" ); document.write( "FOIL
\n" ); document.write( "ab + a + b + 1 = ab + 9
\n" ); document.write( "subtract ab from both sides
\n" ); document.write( "a + b + 1 = 9
\n" ); document.write( "a + b = 9 -1
\n" ); document.write( "a + b = 8
\n" ); document.write( "solve for a
\n" ); document.write( "a = -b + 8
\n" ); document.write( "solve for b
\n" ); document.write( "b = -a + 8
\n" ); document.write( ".
\n" ); document.write( "• If the length decreases with 0.5 m and the width increases with 4 m, the area is doubled
\n" ); document.write( "(a-.5)*(b+4) = 2ab
\n" ); document.write( "ab + 4a - .5b -2 = 2ab
\n" ); document.write( "solve for a
\n" ); document.write( "ab - 2ab + 4a = .5b + 2
\n" ); document.write( "-ab + 4a = .5b + 2
\n" ); document.write( "factor out a
\n" ); document.write( "a(-b + 4) = .5b + 2
\n" ); document.write( "a = \"%28%28.5b%2B2%29%29%2F%28%28-b%2B4%29%29\"
\n" ); document.write( "solve for b
\n" ); document.write( "-ab + 4a = .5b + 2 =
\n" ); document.write( "-ab - .5b = -4a + 2
\n" ); document.write( "get rid of all those negatives, multiply by -1
\n" ); document.write( "ab + .5b = 4a - 2
\n" ); document.write( "Factor out b
\n" ); document.write( "b(a+.5) = 4a - 2
\n" ); document.write( "b = \"%28%284a-2%29%29%2F%28%28a%2B.5%29%29\" \n" ); document.write( "
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