Final answer:
To calculate the area of a rectangle 2 1/4 inches by 5 1/4 inches, convert the measurements to improper fractions, multiply them and simplify the result to get 189/16 square inches or 11 13/16 square inches.
Step-by-step explanation:
The question asks for the area of a rectangle with given dimensions: 2 1/4 inches by 5 1/4 inches. To find the area, we multiply the length by the width.
First, let's convert the measurements to improper fractions:
- 2 1/4 inches = (2 × 4 + 1)/4 = 9/4 inches
- 5 1/4 inches = (5 × 4 + 1)/4 = 21/4 inches
Now we multiply the length by the width:
- Area = (9/4 inches) × (21/4 inches) = 189/16 square inches
The area of a rectangle that is 2 1/4 inches by 5 1/4 inches is 189/16 square inches or 11 13/16 square inches when converted to a mixed number.