document.write( "Question 614149: a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? Is it possible for another pool to have the same area but a larger perimeter ?\r
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document.write( "I think the length would be 10meters and 3 meters wide ? not sure how to do the rest \n" );
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Algebra.Com's Answer #386406 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is the length and width of the swimming pool? \n" ); document.write( "Perimeter = 2(L+W) \n" ); document.write( "26 = 2(L+W) \n" ); document.write( "13 = L+W \n" ); document.write( "L = 13-W \n" ); document.write( "---- \n" ); document.write( "Area = L*W \n" ); document.write( "40 = (13-W)W \n" ); document.write( "40 = 13W-W^2 \n" ); document.write( "W^2 -13W+40 = 0 \n" ); document.write( "W = [13 +- sqrt(169-4*1*40)]/2 \n" ); document.write( "W = [13 +- sqrt(9)}/2 \n" ); document.write( "W = [13+-3]/2 \n" ); document.write( "Positive solution: \n" ); document.write( "W = 8 meters \n" ); document.write( "---- \n" ); document.write( "So L = 5 meters \n" ); document.write( "====================\r \n" ); document.write( "\n" ); document.write( "Is it possible for another pool to have the same area but a larger perimeter ? \n" ); document.write( "Yes \n" ); document.write( "-------------- \n" ); document.write( "Note A pool that is 40 meters by 1 meter has a perimeter \n" ); document.write( "of (40+1+40+1) = 82 meters. This pool still has an area \n" ); document.write( "of 40 sq. meters. \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( "========================================== \n" ); document.write( " |