document.write( "Question 224674: A rectangle has a perimeter of 100 feet. Express its area in terms of one of its sides, x \n" ); document.write( "

Algebra.Com's Answer #167844 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A rectangle has a perimeter of 100 feet.
\n" ); document.write( " Express its area in terms of one of its sides, x
\n" ); document.write( ":
\n" ); document.write( "Let L = the length
\n" ); document.write( "Let x = the width
\n" ); document.write( ":
\n" ); document.write( "The perimeter:
\n" ); document.write( "2L + 2x = 100
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "L + x = 50
\n" ); document.write( "L = (50-x)
\n" ); document.write( ":
\n" ); document.write( "The area:
\n" ); document.write( "A = L * x
\n" ); document.write( "Replace L with (50-x)
\n" ); document.write( "A = x(50-x)
\n" ); document.write( "A = -x^2 + 50x
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