document.write( "Question 243075: The width of a rectangle is 15 cm less than the length. The perimeter is 98 cm. Find the
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document.write( "rectangle´s dimensions. \n" );
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Algebra.Com's Answer #178111 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangle = 2L + 2W = 98. \n" ); document.write( "W is 15 less than L, or L - 15 = W, or W + 15 = L \n" ); document.write( "Substituting from Eq 2 back into Eq 1, \n" ); document.write( "2(W+15) + 2W = 98 \n" ); document.write( "2W + 30 + 2W = 98 \n" ); document.write( "4W + 30 = 98 \n" ); document.write( "4W = 68 \n" ); document.write( "W = 17 \n" ); document.write( "Recalling L = W+15 \n" ); document.write( "L = 17 + 15 = 32 \n" ); document.write( "Now to check our solution \n" ); document.write( "Does the perimeter = 98? \n" ); document.write( "2(32) + 2(17) = ?? \n" ); document.write( "64 + 34 = 98 \n" ); document.write( "Done! \n" ); document.write( " |