document.write( "Question 103834: The city is planning to build a small playground on arectangle section of a park. The perimeter of the playground is 80 feet. The two longer sides of the playground will each be 25 feet.
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document.write( " Now what I did was this..\r
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document.write( "80/5= 16 25/5 & 25/5=5+5=10*16=160/5=32ft square.
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document.write( " But I have a feeling is wrong like I'm missing something I used the L*W operation\r
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document.write( "also..\r
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document.write( "A rectangle yard is surrounded by a fence that is 26 feet long. The area of the yard is 36 ft square. Determine the dimension of the yard.\r
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document.write( "I did this...\r
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document.write( "26/2 & 36/2 which gave me
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document.write( "13 * 18 = 234/2= 117 square feet
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document.write( "again I used the L*W operation still I feel is wrong \n" );
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Algebra.Com's Answer #75486 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The city is planning to build a small playground on a rectangle section of a park. The perimeter of the playground is 80 feet. The two longer sides of the playground will each be 25 feet. \n" ); document.write( "---------------- \n" ); document.write( "Perimeter = 2*length + 2*width \n" ); document.write( "--------------- \n" ); document.write( "Let the length be 25 ft.; Let the width be \"x\" ft \n" ); document.write( "---------------- \n" ); document.write( "EQUATION: \n" ); document.write( "80 = 2*25 + 2x \n" ); document.write( "30 = 2x \n" ); document.write( "x = 15 \n" ); document.write( "The width = 15 ft. \n" ); document.write( "-------------------------- \n" ); document.write( " \n" ); document.write( "A rectangle yard is surrounded by a fence that is 26 feet long. The area of the yard is 36 ft square. Determine the dimension of the yard. \n" ); document.write( "------- \n" ); document.write( "Formula : Area = length*width \n" ); document.write( "Perimeter = 2*length + 2*width \n" ); document.write( "----------- \n" ); document.write( "Let the length by x; let the width by y.\r \n" ); document.write( "\n" ); document.write( "EQUATIONS: \n" ); document.write( "xy = 36 \n" ); document.write( "2x+2y=26 \n" ); document.write( "---------- \n" ); document.write( "Simplify: \n" ); document.write( "y = 36/x \n" ); document.write( "x+y = 13 \n" ); document.write( "------------- \n" ); document.write( "Substitute y=36/x into x+y=13 to get: \n" ); document.write( "x+(36/x)= 13 \n" ); document.write( "Multiply thru by x to get: \n" ); document.write( "x^2 + 36 = 13x \n" ); document.write( "Rearrange: \n" ); document.write( "x^2 - 13x + 36 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-4)(x-9)=0 \n" ); document.write( "x = 4 or x=9 \n" ); document.write( "If the width is 4 ft, the length = 36/4 = 9 ft \n" ); document.write( "If the length is 9 ft.,the width = 36/9 = 4 ft \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |