document.write( "Question 377238: The perimeter of a rectangle is 32 cm. The length of one side is 8 cm longer than the second side. What is the length of the longer side?\r
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Algebra.Com's Answer #268093 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangle is 32 cm. The length of one side is 8 cm longer than the second side. \n" ); document.write( "What is the length of the longer side? \n" ); document.write( ": \n" ); document.write( "Write the standard perimeter equation \n" ); document.write( "2L + 2W = 32 \n" ); document.write( ": \n" ); document.write( "It says,\"The length of one side is 8 cm longer than the second side.\" \n" ); document.write( "L = W + 8 \n" ); document.write( ": \n" ); document.write( "In the perimeter equation we can replace L with (W+8) \n" ); document.write( "2(W+8) + 2W = 32 \n" ); document.write( "2W + 16 + 2W = 32 \n" ); document.write( "2W + 2W = 32 - 16 \n" ); document.write( "4W = 16 \n" ); document.write( "W = \n" ); document.write( "W = 4 cm is the 2nd side \n" ); document.write( ": \n" ); document.write( "What is the length of the longer side \n" ); document.write( "we know L = W + 8 \n" ); document.write( "L = 4 + 8 \n" ); document.write( "L = 12 cm is the longer side \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our values in the perimeter equation \n" ); document.write( "2(12) + 2(4) = 32 \n" ); document.write( "24 + 8 = 32, confirms our answers \n" ); document.write( " |