document.write( "Question 1189873: 1. Richard has available 400 yards of fencing and wishes to enclose a rectangular area.\r
\n" ); document.write( "\n" ); document.write( "a.) Express the area A of the rectangle as a function of the width x of the rectangle?\r
\n" ); document.write( "\n" ); document.write( "b.) What is the domain of A? \n" ); document.write( "

Algebra.Com's Answer #821369 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "Richard has available 400 yards of fencing and wishes to enclose a rectangular area.
\n" ); document.write( "a.) Express the area A of the rectangle as a function of the width x of the rectangle?
\n" ); document.write( "b.) What is the domain of A?
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document.write( "(a)  the Length + the Width = 400/2 = 200,\r\n" );
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document.write( "     so if the length is x yards, then the width is (200-x) yards.\r\n" );
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document.write( "     Then the area is A = xy square yards, which is A(x) = x*(200-x) = -x^2 + 200x.\r\n" );
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document.write( "(b)  The function is A(x) = x*(200-x) = -x^2 + 200x,\r\n" );
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document.write( "     and it makes sense where A(x) is non-negative and x is non-negative, \r\n" );
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document.write( "     so the domain of the function A(x), defined in this way for the area, is  0 <= x <= 200.\r\n" );
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