document.write( "Question 686404: the length of a rectangular is 4 times its width. If the perimeter is 70cm, find the legth and width of the rectangular
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Algebra.Com's Answer #424762 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! In order to solve this word problem, you will need to know the formula for finding the perimeter of a rectangle: 2L + 2W = P, where L stands for Length, W stands for Width, and P stands for Perimeter. \r \n" ); document.write( "\n" ); document.write( "Next, let's look at what the problem gives us:\r \n" ); document.write( "\n" ); document.write( "Length of Rectangle = 4 times it's width\r \n" ); document.write( "\n" ); document.write( "In other words, L=4W\r \n" ); document.write( "\n" ); document.write( "And\r \n" ); document.write( "\n" ); document.write( "Perimeter = 70\r \n" ); document.write( "\n" ); document.write( "Now, substitute 4W for L in the formula for finding the perimeter of a rectangle, and substitute 70 for P in that same formula:\r \n" ); document.write( "\n" ); document.write( "2(4W) + 2W = 70\r \n" ); document.write( "\n" ); document.write( "Now, multiply 2 by 4W:\r \n" ); document.write( "\n" ); document.write( "2*4W = 8W\r \n" ); document.write( "\n" ); document.write( "So, we have \r \n" ); document.write( "\n" ); document.write( "8W + 2W = 70\r \n" ); document.write( "\n" ); document.write( "which gives us\r \n" ); document.write( "\n" ); document.write( "10W = 70\r \n" ); document.write( "\n" ); document.write( "Now, divide both sides of the equal sign by 10:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which gives us\r \n" ); document.write( "\n" ); document.write( "W = 7\r \n" ); document.write( "\n" ); document.write( "So, we now know the width of the rectangle. We also know that the length is 4 times the width, so to find the length, just multiply the width by 4:\r \n" ); document.write( "\n" ); document.write( "7 x 4 = 28\r \n" ); document.write( "\n" ); document.write( "Therefore, the length of the rectangle is 28cm and the width is 7cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |