document.write( "Question 1008843: the length of a rectangle is 5cm less than twice the width. The area is 75 square cm. Find the length and the width
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Algebra.Com's Answer #625952 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Area A = LW = 75 cm^2. We also have \n" ); document.write( "L = 2W - 5 \n" ); document.write( "Substituting this we have \n" ); document.write( "(2W - 5)W = 75 \n" ); document.write( "2W^2 - 5W - 75 = 0 \n" ); document.write( "(2W - 15)(W + 5) = 0 \n" ); document.write( "so that \n" ); document.write( "2W = 15 \n" ); document.write( "W = 7.5 cm \n" ); document.write( "and \n" ); document.write( "L = 2(7.5) - 5 = 10 cm \n" ); document.write( " |