document.write( "Question 252176: A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 18 cm, what was the area of the original square?\r
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document.write( "A. 9 cm2 B. 18 cm2 C. 24 cm2 D. 36 cm2 E. 81 cm2 \n" );
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Algebra.Com's Answer #183957 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 18 cm, what was the area of the original square? \n" ); document.write( "A. 9 cm2 B. 18 cm2 C. 24 cm2 D. 36 cm2 E. 81 cm2 \n" ); document.write( ". \n" ); document.write( "Draw a diagram of the problem. It'll help you see the solution. \n" ); document.write( ". \n" ); document.write( "Let x = measure of one side of square \n" ); document.write( "then \n" ); document.write( "x/2 = width of rectangle \n" ); document.write( "x = length \n" ); document.write( ". \n" ); document.write( "2(x/2 + x) = 18 \n" ); document.write( "x/2 + x = 9 \n" ); document.write( "3x/2 = 9 \n" ); document.write( "3x = 18 \n" ); document.write( "x = 6 cm \n" ); document.write( ". \n" ); document.write( "Therefore the area of the square is: \n" ); document.write( "6*6 = 36 cm^2 \n" ); document.write( " \n" ); document.write( " |