document.write( "Question 914040: The width of a rectangle is 1/4 of the length. The area is twice the perimeter. What are the dimensions of the rectangle? \n" ); document.write( "

Algebra.Com's Answer #554838 by Lenzky(18) $\"\"$ $\"About$

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$\"x\"$ - Length
\n" ); document.write( " $\"x%2F4\"$ - Wide\r
\n" ); document.write( "\n" ); document.write( "Perimeter
\n" ); document.write( " $\"2x+%2B+2%28x%2F4%29+=+2x+%2B+x%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "Area
\n" ); document.write( " $\"%28x%29%28x%2F4%29+=+x%5E2%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2F4+=+2%282x+%2B+x%2F2%29\"$
\n" ); document.write( " $\"x%5E2%2F4+=+4x+%2B+x\"$ times both side by 4
\n" ); document.write( " $\"x%5E2+=+16x+%2B+4x\"$
\n" ); document.write( " $\"x%5E2+=+20x\"$
\n" ); document.write( " $\"x%5E2+-+20x+=+0\"$
\n" ); document.write( " $\"x%28x-20%29+=+0\"$
\n" ); document.write( " $\"x+=+0\"$ & $\"x+=+20\"$ \r
\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "Length: $\"X+=+20\"$
\n" ); document.write( "Wide: $\"x%2F4+=+20%2F4+=+5\"$ \r
\n" ); document.write( "\n" ); document.write( "P= 2L + 2W
\n" ); document.write( "P= 2(20) + 2(5)
\n" ); document.write( "P= 40 + 10
\n" ); document.write( "P= 50\r
\n" ); document.write( "\n" ); document.write( "A= LW
\n" ); document.write( "A= 20 x 5
\n" ); document.write( "A= 100\r
\n" ); document.write( "\n" ); document.write( "2P = A
\n" ); document.write( "2(50) = 100
\n" ); document.write( "100 = 100
\n" ); document.write( " \n" ); document.write( "

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