Question

The park shown below is square shaped. The ground surrounding the pool is covered with grass. What is the total area, in square yards, of the ground in the park that is covered with grass? Use 3.14 to represent the value of π. (HINT: multiple step problem involving finding the area of entire park and the area of the pool) pool diameter is 10 yrds. Side length of yard is 30 yards Question 5 options: 821.5 square yards 78.5 square yards 900 square yards 586 square yards

Answer 1

The area of the ground in the park that is covered with grass is 821.5 square yards ⇒ 1st answer

Step-by-step explanation:

Let us revise the areas of some figures

• Area of a square of side length s is A = s²
• Area of a circle of radius r is A = πr²

∵ The park is shaped a square

∵ The side length of the park is 30 yards

- Use the rule of the area above to find the area of the park

∴ Area of the park = (30)² = 900 yards²

∵ The pool is shaped a circle

∵ The diameter of the pool is 10 yards

- The radius of a circle is half its diameter

∵ r = $\frac{1}{2}$ diameter

∴ r = $\frac{1}{2}$ (10) = 5 yards

- Use the rule of the area above to find the area of the pool

∵ π = 3.14

∴ Area of the pool = 3.14(5)² = 78.5 yards²

To find the area of the ground in the park that is covered by grass subtract the area of the pool from the area of the park

∴ Area of the ground = 900 - 78.5

∴ Area of the ground = 821.5 yards²

The area of the ground in the park that is covered with grass is 821.5 square yards

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