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
The equation A = -w^2 + 60w represents the area of the dog run. To find the maximum range or area, we can use the vertex formula for a quadratic equation: x = -b/2a.
In this case, a = -1 and b = 60. Plugging these values into the formula, we get:
x = -60/(2*-1) = 60/2 = 30
So, the maximum range or area the fence can have is 30 square feet.