document.write( "Question 994448: An above-ground swimming pool with a square base is to be constructed such that the surface area of the pool is 465 square feet. The height h of the pool is to be 4 feet (see figure.) What should the dimensions of the base be? (Hint: The surface area is S = x2 + 4xh.)
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\n" ); document.write( "width ft
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Algebra.Com's Answer #613558 by macston(5194)\"\" \"About 
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\n" ); document.write( "The base is square so length and width are the same.
\n" ); document.write( "L=W=x; h=height=4ft
\n" ); document.write( "Surface area=area of bottom+area of sides
\n" ); document.write( "\"SA=x%5E2%2B4xh\"
\n" ); document.write( "\"SA=x%5E2%2B16x\"
\n" ); document.write( "\"465ft%5E2=x%5E2%2B16x\"
\n" ); document.write( "\"0=x%5E2%2B16x-465\"
\n" ); document.write( "\"0=%28x-15%29%28x%2B31%29%0D%0A%7B%7B%7Bx-15=0\" \"OR\" \"x%2B31=0\"
\n" ); document.write( "\"x=15\" \"OR\" \"x=-31\"
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\n" ); document.write( "Since -31 does not work,
\n" ); document.write( "x=15 feet
\n" ); document.write( "ANSWER: The length and the width are 15.
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( ".
\n" ); document.write( "\"SA=x%5E2%2B4xh\"
\n" ); document.write( "\"465ft%5E2=%2815ft%29%5E2%2B4%2815ft%29%284ft%29\"
\n" ); document.write( "\"465ft%5E2=225ft%5E2%2B240ft%5E2\"
\n" ); document.write( "\"465ft%5E2=465ft%5E2\"\r
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