document.write( "Question 1154520: The length of a rectangle is three times its width, the perimeter of the rectangle is 24cm. Calculate the area. \n" ); document.write( "

Algebra.Com's Answer #776951 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the width, W
\n" ); document.write( " $\"+3x+\"$ = the length, L
\n" ); document.write( "----------------------------
\n" ); document.write( "The formula for perimeter, P, is:
\n" ); document.write( " $\"+P+=+2L+%2B+2W+\"$
\n" ); document.write( " $\"+P+=+2%2A%28+3x+%29+%2B+2x+\"$
\n" ); document.write( " $\"+24+=+6x+%2B+2x+\"$
\n" ); document.write( " $\"+8x+=+24+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+3x+=+9+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Let $\"+A+\"$ = the area
\n" ); document.write( " $\"+A+=+W%2AL+\"$
\n" ); document.write( " $\"+A+=+x%2A3x+\"$
\n" ); document.write( " $\"+A+=+3%2A9+\"$
\n" ); document.write( " $\"+A+=+27+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+P+=+2%2A%28+3x+%29+%2B+2x+\"$
\n" ); document.write( " $\"+P+=+2%2A9+%2B+2%2A3+\"$
\n" ); document.write( " $\"+P+=+18+%2B+6+\"$
\n" ); document.write( " $\"+P+=+24+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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