HELP HELP HELP! IM SO LOST! a farmer has 3000 ft. of fencing available to enclose a rectangular feild. Express the area (A) of the rectangle as a function of X, where X is the length of the rectangle.

Question

anonymous · Answer

A = W * X
where W is the width
so 3000 = WX

anonymous · Answer

gotcha...

anonymous · Answer

sorry, 3000 is the perimeter. so 3000 = 2(X+W)
therefore W = 1500-X
so the area is
A = WX = X*(1500-X)
A = 1500X-X^2

anonymous · Answer

can u explain a bit more please?

anonymous · Answer

it is given that he has 3000 ft of fence to fence in the field.
that must mean that 3000 feet is the length of the fence around the field.
since the field is rectangular, the length of the fence must be the perimeter of the field
so 3000 = perimeter of field
but for a rectangle, perimeter is 2(length+width)
so 3000 = 2(W+X)