document.write( "Question 522115: The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #346692 by nerdybill(7384)\"\" \"About 
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The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth.
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\n" ); document.write( "Let w = width
\n" ); document.write( "then
\n" ); document.write( "3w = length
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\n" ); document.write( "Because we know the perimeter:
\n" ); document.write( "32 = 2(w + 3w)
\n" ); document.write( "32 = 2(4w)
\n" ); document.write( "16 = 4w
\n" ); document.write( "4 feet = w (width)
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\n" ); document.write( "Length:
\n" ); document.write( "3w = 3(4) = 12 feet
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\n" ); document.write( "Diagonal, we use the pythagorean theorem:
\n" ); document.write( "Let d = diagonal
\n" ); document.write( "then
\n" ); document.write( "d^2 = 4^2 + 12^2
\n" ); document.write( "d^2 = 16 + 144
\n" ); document.write( "d^2 = 160
\n" ); document.write( "d = 12.6 feet
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