Further Investigation?

Question

if n rectangular sheep pens of width 20 m are constructed (one side of the existing shed is used as part of the pen) from a fence of length x m, find in terms of x and n:
(1)the length of sheep pen,
(2)total area of sheep pens

Answer 1

the perimeter of the sheep pen will be P= x + w + x or 2x + 20

Therefore, the length will be x = (P-20)/2

The width would be 20.

The area would be 20 times (P-20)/2, which equals 10P-200.

Therefore, the area of n sheep pens would be n times (10P - 200) square meters.

Answer 2

n + 20(n+1) = x

So, n = (x-20)/21 (length of 1 pen)

Total area