document.write( "Question 409315: The perimeter of a rectangle is 240 inches. The length of the rectangle is 4 times the width. Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #288156 by peter_toribio90(6)\"\" \"About 
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The perimeter of a rectangle is 240 inches. The length of the rectangle is 4 times the width. Find the dimensions of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "As geometry generally says, the formula for the perimeter of a rectangle is:
\n" ); document.write( "\"P+=+2l+%2B+2w\"\r
\n" ); document.write( "\n" ); document.write( "Since the length of the rectangle is 4 times the width, we say
\n" ); document.write( "\"l+=+4w\"\r
\n" ); document.write( "\n" ); document.write( "Now, by substitution of the given data, we get
\n" ); document.write( "\"240+=+2%284w%29+%2B+2w\" Notice that the length is replaced with 4w as a result of the equation above.
\n" ); document.write( "\"240+=+8w+%2B+2w\" Multiplication (2 x 4w = 8w).
\n" ); document.write( "\"240+=+10w\" Addition (8w + 2w = 10).
\n" ); document.write( "\"240%2F10+=+10w%2F10\" Division on both sides.
\n" ); document.write( "\"w+=+24\" Result. (240/10 = 24)\r
\n" ); document.write( "\n" ); document.write( "***Since we now have the value of w (width), all we need to do is substitute it to the formula l = 4w (above).\r
\n" ); document.write( "\n" ); document.write( "\"l+=+4w\"
\n" ); document.write( "\"l+=+4%2824%29\"
\n" ); document.write( "\"l+=+96\"\r
\n" ); document.write( "\n" ); document.write( "==================
\n" ); document.write( "The dimension are:
\n" ); document.write( "length = 96
\n" ); document.write( "width = 24
\n" ); document.write( "==================\r
\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "\"P+=+2l+%2B+2w\"
\n" ); document.write( "\"240+=+2%2896%29+%2B+2%2824%29\"
\n" ); document.write( "\"240+=+192+%2B+48\"
\n" ); document.write( "\"240+=+240\"
\n" ); document.write( "
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