The area of the mattress is approximately 20.31 square feet.
To solve this problem
We need to convert the mixed numbers to feet first:
For the length:
6 1/4 feet is equal to 6 + (1/4) = 25/4 feet.
For the width:
3 1/4 feet is equal to 3 + (1/4) = 13/4 feet.
Now, we can calculate the area using the formula for the area of a rectangle:
- Area = Length × Width
- Area = (25/4 feet) × (13/4 feet)
- Area = (25 × 13) / (4 × 4)
- Area = 325 / 16
- Area = 20.3125 square feet (rounded to four decimal places)
So, the area of the mattress is approximately 20.31 square feet.