Question

Nora is creating a dog run for her dog, Mr. Darcey. She has enough fencing material for a fence with a perimeter of 120 feet. This situation is modeled using the equation A=−w2+60w
where A
is the area and w is the width. Using this equation, identify the maximum range or area the fence can have.(1 point)
square feet

Answer 1

Maximum area is 900 square feet.

Reason: A(w) = −w^2 + 60w is a downward parabola with vertex at w = −b/(2a) = 60/2 = 30. Then A(30) = 30(60−30) = 900 sq ft.