document.write( "Question 381821: A rectangle is three times longer than it is wide and has a diagonal of 50. Find the dimensions of the rectangle and its perimeter. \n" ); document.write( "

Algebra.Com's Answer #270781 by Alan3354(69443) $\"\"$ $\"About$

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A rectangle is three times longer than it is wide and has a diagonal of 50. Find the dimensions of the rectangle and its perimeter.
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\n" ); document.write( "L = 4W
\n" ); document.write( " $\"50%5E2+=+L%5E2+%2B+W%5E2+=+%284W%29%5E2+%2B+W%5E2\"$
\n" ); document.write( " $\"17W%5E2+=+2500\"$
\n" ); document.write( " $\"W+=+sqrt%282500%2F17%29\"$
\n" ); document.write( "W =~ 12.12678 square units
\n" ); document.write( "L =~ 48.507 sq units
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\n" ); document.write( "Perimeter = 2L + 2W = 121.2678 units
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