document.write( "Question 244657: the length of a rectangle is four more than one-half the width of the rectangle. the perimeter of the rectangle is 50. The area of the rectangle is _______square units. \r
\n" ); document.write( "\n" ); document.write( "the length of the diagonal of the rectangle, to the nearest tenth is ________units. \n" ); document.write( "
Algebra.Com's Answer #178874 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the length of a rectangle is four more than one-half the width of the rectangle.
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\n" ); document.write( "Let width be \"x\".
\n" ); document.write( "Then the length is \"(1/2)x+4\"
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\n" ); document.write( "\n" ); document.write( "the perimeter of the rectangle is 50.
\n" ); document.write( "P + 2(length + width)
\n" ); document.write( "50 = 2[(1/2)x+4 + x]
\n" ); document.write( "25 = (3/2)x + 4
\n" ); document.write( "(3/2)x = 21
\n" ); document.write( "x = 14 (width)
\n" ); document.write( "(1/2)x+4 = 7+4 = 11 (length)
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\n" ); document.write( "\n" ); document.write( "The area of the rectangle is 14*11 = 154 square units.
\n" ); document.write( "the length of the diagonal of the rectangle,
\n" ); document.write( "to the nearest tenth is sqrt(21^2+11^2) = sqrt(562) = 23.71 units.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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