document.write( "Question 843445: The length of a rectangle is 8cm more than four times the width. If the perimeter of the rectangle is 56cm what are the dimensions? \n" ); document.write( "
Algebra.Com's Answer #508093 by TheInstructor(29)\"\" \"About 
You can put this solution on YOUR website!
Maybe I should create a lesson on this, nevertheless:\r
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\n" ); document.write( "\n" ); document.write( "Let's break it down. Okay so your length is 8cm more than width. How can we re-write this into the form of an equation?\r
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\n" ); document.write( "\n" ); document.write( "Let your x = Width
\n" ); document.write( "Simply put: L = 4x + 8\r
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\n" ); document.write( "\n" ); document.write( "Okay your perimeter is given as 56cm. Now we know that Perimeter = 2Length + 2Width right (2L+2W)?\r
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\n" ); document.write( "\n" ); document.write( "So: 2(4x+8)+ 2(x) = 56
\n" ); document.write( "Therefore: 8x+16 + 2x = 56
\n" ); document.write( "10x + 16 = 56
\n" ); document.write( "10x = 40\r
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\n" ); document.write( "\n" ); document.write( "SO YOUR X IS THEN EQUAL TO 4CM. Now remember your length is 4x+8. So sub your x=4, into the length equation to give you a dimension of 24cm.\r
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\n" ); document.write( "\n" ); document.write( "So as a result;
\n" ); document.write( "Length: 24cm
\n" ); document.write( "Width: 4cm\r
\n" ); document.write( "\n" ); document.write( "If you want to check it sub your dimensions into the 2L+2W formula; which should give you an answer of 56.\r
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\n" ); document.write( "\n" ); document.write( "Hope that helped! :)
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