document.write( "Question 122435: Please help.
\n" ); document.write( "A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals.
\n" ); document.write( " 4x + 3y = 100\r
\n" ); document.write( "\n" ); document.write( "Write the area A of the enclosed region as a function of x\r
\n" ); document.write( "\n" ); document.write( "So far this is what I’ve got-I figured out the function of x and plugged it into the Area formula, but that’s where I get stuck.
\n" ); document.write( "P = 100
\n" ); document.write( "4x + 3y = 100
\n" ); document.write( "4x + 3y – 3y = – 3y + 100
\n" ); document.write( "\"4x+=+%28%26%238211%3B+3y+%2B+100%29%2F4\"
\n" ); document.write( "
\n" ); document.write( "\"x+=+-3%2F4y+%2B+25\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=-3%2F4y+%2B+25\"\r
\n" ); document.write( "\n" ); document.write( "A = 2x(y)
\n" ); document.write( "\"A+=%5B+2%28-3%2F4y+%2B+25%29%5Dy\"
\n" ); document.write( "\"A+=+%28-3%2F2y+%2B+50%29y\"
\n" ); document.write( "\"A+=+-3%2F2y%5E2+%2B+50y\"
\n" ); document.write( " I know x = 10 and y = 20 works for the perimeter, but don’t know how to write it to show that. When I graph \"A+=+-3%2F2y%5E2+%2B+50y\" (making A correspond to y and the y correspond to the x), I don’t get the same area as in the table.
\n" ); document.write( "I need to add more values to the table.
\n" ); document.write( "X Y Area
\n" ); document.write( "2 92/3 368/3 ≈123
\n" ); document.write( "4 28 224
\n" ); document.write( "Thank you for any help you can give!!!
\n" ); document.write( "

Algebra.Com's Answer #89948 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
4x + 3y = 100 __ subtracting 4x __ 3y=100-4x __ dividing by 3 __ y=(100-4x)/3\r
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\n" ); document.write( "\n" ); document.write( "A = 2x(y) __ substituting for y __ A=2x(100-4x)/3 __ A=(200x-8x^2)/3\r
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\n" ); document.write( "\n" ); document.write( "so f(x)=(200x-8x^2)/3
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