document.write( "Question 1139342: A rectangular turtle pen is 6 feet long
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document.write( "by 4 feet wide. The pen is enlarged by
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document.write( "increasing the length and width by an equal
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document.write( "amount in order to double its area. What are
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document.write( "the dimensions of the new pen?
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Algebra.Com's Answer #759836 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A rectangular turtle pen is 6 feet long by 4 feet wide. \n" ); document.write( " The pen is enlarged by increasing the length and width by an equal \n" ); document.write( "amount in order to double its area. \n" ); document.write( " What are the dimensions of the new pen? \n" ); document.write( ": \n" ); document.write( "Find double the area of the pen \n" ); document.write( "2(6*4) = 48 sq/ft \n" ); document.write( "let x = the amt increased to double the area \n" ); document.write( "(x+6)*(x+4) = 48 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + 4x + 6x + 24 = 48 \n" ); document.write( "x^2 + 10x + 24 - 48 = 0 \n" ); document.write( "x^2 + 10x - 24 = 0 \n" ); document.write( "factors to: \n" ); document.write( "(x-2)(x+12) = 0 \n" ); document.write( "the positive solution is all we want here \n" ); document.write( "x = 2 \n" ); document.write( "the new dimensions: \n" ); document.write( " (2+6) = 8 \n" ); document.write( " (2+4) = 6 \n" ); document.write( "8 ft by 6 ft is the new dimensions \n" ); document.write( " |