Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land tha

Question

Hitman42

2 months ago

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Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land tha

t can be fenced in if the width of the rectangular area is w?

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-03-22T11:54:03+03:00

A(w) = -w² + 100w Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.