Q
QuestionMathematics

A certain park has an area of 11,863,808 square yards. What is the area, in square miles, of this park? (1 mile = 1,760 yards) A) 1.96 B) 3.83 C) 3,444.39 D) 6,740.8
11 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1:
Let's solve this step by step:

Step 2:
: Understand the given information

- Park area = 11,863,808 square yards - Conversion: 1 mile = 1,760 yards

Step 3:
: Calculate the conversion factor for square miles

- $$1 \text{ square mile} = 1,760^{2} = 3,097,600 \text{ square yards}
- 1 square mile = (1,760 yards)^{2}

Step 4:
: Convert park area from square yards to square miles

- $$\text{Area in square miles} = \frac{11,863,808 \text{ square yards}}{3,097,600 \text{ square yards/square mile}}

Step 5:
: Perform the division

- $$\text{Area} = \frac{11,863,808}{3,097,600} = 3.83 \text{ square miles}

Final Answer

Key steps: - Converted square yards to square miles using the conversion factor - Divided total park area by square yards per square mile - Rounded to two decimal places