Final answer:
The area of a park that is 9/10 mile long and 4/5 mile wide is calculated by multiplying the length by the width, resulting in an area of 18/25 square miles after simplifying the fraction.
Step-by-step explanation:
To determine the area of the park, which measures 9/10 miles long and 4/5 mile wide, we multiply the length by the width. The formula for calculating the area of a rectangle is length × width. Thus, the calculation will be (9/10) × (4/5).
Firstly, we convert the mixed numbers to improper fractions if necessary. In this case, our numbers are already in fractional form, so we can directly multiply them:
(9/10) × (4/5) = (9 × 4) / (10 × 5) = 36 / 50
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
36 / 50 = (36÷2) / (50÷2) = 18 / 25
The final simplified fraction representing the area of the park is 18/25 square miles.