A friend is building a dog pen with an area of 150 square feet. Each side
must be at least 5 feet long.
a. List all possible dimensions of the dog pen.
b. What is the maximum amount of fence required to build the dog pen?
How much fence is required?
c. What dimensions would provide the longest running path for the dog?
a.
5 by 30
6 by 25
10 by 15
I'm sure you can take it from there.
well keep going I needs this! ;-;
I cheated on my homework thanks
Thanks for a freebie on a Assignment
Can you explain how you did it
What is b
and c
What is c
To find all the possible dimensions of the dog pen, we need to consider the factors of its area, which is 150 square feet. We also need to keep in mind that each side must be at least 5 feet long.
a. List of possible dimensions:
The factors of 150 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.
However, the sides of the dog pen must be at least 5 feet long. So, we can exclude the factors less than 5. The possible dimensions of the dog pen are: 5x30, 6x25, 10x15, and 15x10.
b. Maximum amount of fence required:
To calculate the maximum amount of fence required, we need to find the perimeter of the dog pen with the largest dimensions. The perimeter is the sum of all sides of the pen. Assuming the dimensions are 5x30, the perimeter is 5 + 5 + 30 + 30 = 70 feet.
How much fence is required?
Since each side must be at least 5 feet long, the minimum amount of fence required is 5 + 5 + 5 + 5 = 20 feet. The maximum amount of fence required is 70 feet, as calculated above.
c. Longest running path for the dog:
To find the dimensions that provide the longest running path for the dog, we need to consider the shape that maximizes the perimeter. In this case, it is a square since all sides of a square are equal. So, the dimensions that would provide the longest running path for the dog is a square.