A farmer wants to fence in an area for his chicken coop and for a small garden exactly 200 linear feet of fencing with width x. a.) Express the area of the coop A,as a function of x.

Question

The rectangle is split in half A&b"not equal" with 3 widths and 4 lengths.

Answer 1

the amount remaining for the lengths is 200 - 3x

Each length is (200 - 3x)/4

So the area is two lengths times one width

(200-3x)/2 * x = (1/2) ( 200x - 3x^2) = 100x -(3/2)x^2