A fence to a rectangular enclosure has a width w, which Is (5m) shorter than its length.

(A).write down an expression for the perimeter of the enclosure.
(B).if the perimeter is not to exceed (150m), find the maximum possible width of the enclosure.

1 answer

width ---- w
length ---- w+5

P = 2w + 2(w+5)
= 2w + 2w + 10
= 4w + 10

4w + 10 ≤ 150
4w ≤ 140
w ≤ 35

max width is 35 m