Question

An animal pen will be constructed along the bank of a river using 200 meters of fencing. The pen will be constructed in the shape of a rectangle. One side of the pen will border the river and will not require a fence. Determine the width of the pen as a function of its height.

Answer 1

To determine the width of the pen as a function of its height, we can use the equation 2w + h = 200 and solve for w.

Step-by-step explanation:

To determine the width of the pen as a function of its height, we need to use the information given. Let's denote the width of the pen as w and the height of the pen as h.

Since we know that one side of the pen will border the river and will not require a fence, we can subtract the length of the river from the total perimeter of the pen.

The total perimeter of the pen is 200 meters, and since one side is already accounted for, we have:

2w + h = 200

Solving this equation for w, we get:

w = (200 - h)/2

So, the width of the pen as a function of its height is w = (200 - h)/2.