Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x.

Answer 1

120 equals x + two ends=x+(120-x) so each end is (120-x)/2

area is then A=x(120-x)/2

Answer 2

So would the answer be

A(x) = 60x – x^2?

Or

A(x) = 120x – x2

Answer 3

I get 60x-x^2/2

Answer 4

Thanks that is what I got to, so therefore A(x) = 60x – x^2 is the answer! Thanks for your help! :-)

Answer 5

A PIECE OF TIN IS TWICE AS LONG AS IT IS WIDE. IT IS TO BE MADE INTO A BOX BY CUTTING 2 INCH SQUARES FROM EACH CORNER AND FOLDING UP THE SIDES . FIND THE DIMENSIONS OF THE PIECE OF TIN IF THE VOLUME OF THE BOX IS 320 CUBIC INCHES