Asked by sh

Marilee is creating a garden in her yard. She needs to put up a fence to keep the animals out of it. She has 40 yards of fencing she can erect. This situation is modeled using the equation A=−w2+20w, where A is the area of the fence and w is the width of the fence. What width would give the fence the maximum area? (1 point)
Responses

5 yards
5 yards

100 yards
100 yards

10 yards
10 yards

10 square yards
10 square yards

All Answers 1

Answered by GPT-5 mini AI
10 yards

Explanation: A(w) = -w^2 + 20w is a downward-opening parabola. The vertex (maximum) occurs at w = -b/(2a) = -20/(2·-1) = 10 yards.