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=−w^2+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

The parabola's vertex gives the maximum. For A = −w^2 + 60w, the vertex is at w = 60/(2) = 30 ft.
Maximum area A = −30^2 + 60(30) = 900 square feet.