document.write( "Question 823529: you are shopping for a square fence. the area of the fence is 500ft squared find out how much fence you will need to buy to cover the perimeter \n" ); document.write( "
Algebra.Com's Answer #495599 by math-vortex(648)\"\" \"About 
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "You are shopping for a square fence. The area you will fence is 500 square feet. Find out how \r\n" );
document.write( "much fence you will need to buy to cover the perimeter.\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "Let's work backwards here. You are shopping for a fence to go around a square \r\n" );
document.write( "with an area of 500 square feet. Because it is a square, each side has the same measure.\r\n" );
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document.write( "Let s be the side length of the square.\r\n" );
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document.write( "The formula for the area of a square is \"A+=+s%5E2\". In your problem, the area is 500 square \r\n" );
document.write( "feet, so\r\n" );
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document.write( "\"s%5E2+=+500\"\r\n" );
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document.write( "This means that the side length is \"s=sqrt%28500%29\", or \"s=10%2Asqrt%285%29\".\r\n" );
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document.write( "Now, let's look at the perimeter of the square. All four sides have equal length, so the \r\n" );
document.write( "formula for the perimeter is \"P=4s\".\r\n" );
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document.write( "Substitute \"10%2Asqrt%285%29\" for s  to give\r\n" );
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document.write( "\"P=4%2A%2810%2Asqrt%285%29%29\"\r\n" );
document.write( "\"P=40%2Asqrt%285%29\"\r\n" );
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document.write( "You need \"40%2Asqrt%285%29\" feet to fence the square. Now if you go to the store and ask for \r\n" );
document.write( "\"20%2Asqrt%2810%29\" feet of fence, they'll think you're a crazy mathematician. This is a good time \r\n" );
document.write( "for an approximate answer. Use a calculator,\r\n" );
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document.write( "\"40%2Asqrt%285%29\" is approximately \"40%2A2.24=89.6\"\r\n" );
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document.write( "You will need about 89.6 feet of fence to cover the perimeter.\r\n" );
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document.write( "Hope this helps! Email me if you have questions about this.\r\n" );
document.write( "Mrs.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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