David wants to build a pan for his goat. He wants the area of the pen to be 48 ft.² if the length and width of the pen are whole numbers which of the following could be the perimeter of the
P equals 26 feet
P equals 28 feet
P equals 30 feet
P equals 36 feet
To solve this problem, we need to find two whole numbers that multiply to 48 and then check if the sum of their perimeters is one of the given options.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Let's try each factor and see if the sum of their perimeters is one of the given options:
- If the length and width are 1 and 48, then the perimeter is 98, which is not an option.
- If the length and width are 2 and 24, then the perimeter is 52, which is not an option.
- If the length and width are 3 and 16, then the perimeter is 38, which is not an option.
- If the length and width are 4 and 12, then the perimeter is 32, which is not an option.
- If the length and width are 6 and 8, then the perimeter is 28, which is one of the given options.
Therefore, the answer is P equals 28 feet.