document.write( "Question 515173: A rectangular pond's length is twice its width. The pond is surrounded on all sides by a three foot wide garden.
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document.write( " A) write a function, A(x), for the area of the pond including the sidewalk,IN TERMS OF THE WIDTH OF THE POND.
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document.write( " B) if the total area (including the garden)is 99 square feet, what are the dimensions of the pond? \n" );
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Algebra.Com's Answer #343820 by mananth(16946)![]() ![]() You can put this solution on YOUR website! width =x \n" ); document.write( "length =2x\r \n" ); document.write( "\n" ); document.write( "side walk = 3 ft\r \n" ); document.write( "\n" ); document.write( "width including sidewalk = x+6 \n" ); document.write( "length including sidewalk = 2x+6\r \n" ); document.write( "\n" ); document.write( "Area = L*W \n" ); document.write( "Area = (x+6)(2x+6) \n" ); document.write( "A(x) = 2x^2+18x+36 \n" ); document.write( "---- \n" ); document.write( "2x^2+18x+36 =99\r \n" ); document.write( "\n" ); document.write( "2x^2+18x+36-99=0\r \n" ); document.write( "\n" ); document.write( "2x^2+18x-63=0\r \n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 2 ,b= 18 ,c= -63 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 324 + 504 \n" ); document.write( "b^2-4ac= 828 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( -18 + 28.77 )/ 4 \n" ); document.write( "x1= 2.69 \n" ); document.write( "x2=( -18 -28.77 ) / 4 \n" ); document.write( "x2= -11.69 \n" ); document.write( "Ignore negative value\r \n" ); document.write( "\n" ); document.write( "Dimensions of pool \r \n" ); document.write( "\n" ); document.write( "width = 2.69 ft \n" ); document.write( "length = 5.38 ft\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |