Nora is creating a dog run in her backyard for her dog, Max. She has enough materials to create a run with a perimeter of 120 feet. This is represented by the function A=−w2+60w
Let's break down the given information:
- The perimeter of the dog run is 120 feet.
- We will use the variables "w" to represent the width of the dog run and "l" to represent the length of the dog run.
- The formula for the perimeter of a rectangle is: P = 2w + 2l (since there are two widths and two lengths in a rectangle).
Now, we can use the given information to create an equation:
2w + 2l = 120
Since Nora wants to create a dog run, the width must be smaller than the length. Let's assume the width is "w" and the length is "60 - w" (since the length minus the width should equal 60).
2w + 2(60 - w) = 120
Simplifying the equation:
2w + 120 - 2w = 120
120 = 120
This equation is true for all values of w. The perimeter is fixed at 120 feet, so there are infinite combinations of width and length that could satisfy the given conditions.