Question

Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land that can be fenced in if the width of the rectangular area is w?

Answer 1

A(w) = -
`w^(2)` + 100w

Explanation:

First, we need to find down the length (l) of the rectangular area in term of w

We have 200 feet of fencing is the perimeter of the rectangular area, which mean:

2 (w + l) = 200

<=> l = 100-w

But the area of land: w*l

= w (100-w)

=-
`w^(2)` + 100w

So, A(w) = -
`w^(2)` + 100w