document.write( "Question 154522: The perimeter of a square is 12 meters greater than the perimeter of another square. It's area is 45 square meters greater than the area of the smaller square. Find the perimeter of each square. \n" ); document.write( "
Algebra.Com's Answer #113775 by nerdybill(7384)\"\" \"About 
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The perimeter of a square is 12 meters greater than the perimeter of another square. It's area is 45 square meters greater than the area of the smaller square. Find the perimeter of each square.
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\n" ); document.write( "Let x = perimeter of smaller square
\n" ); document.write( "then from: \"12 meters greater than the perimeter of another square\"
\n" ); document.write( "x+12 = perimeter of larger square
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\n" ); document.write( "length of one side of smaller square = x/4
\n" ); document.write( "length of one side of larger square = (x+12)/4
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\n" ); document.write( "(x/4)^2 + 45 = ((x+12)/4)^2
\n" ); document.write( "(x^2/16) + 45 = (x^2+24x+144)/16
\n" ); document.write( "x^2 + 720 = x^2+24x+144
\n" ); document.write( "720 = 24x+144
\n" ); document.write( "720 = 24x+144
\n" ); document.write( "576 = 24x
\n" ); document.write( "24 meters = x (perimeter of smaller square)
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\n" ); document.write( "x+12 = 24+12 = 36 meters (perimeter of larger square)
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