Answer:
The area of the park ≅ 111739 feet² ⇒ to the nearest square foot
Step-by-step explanation:
* Lets consider the subdivision is a triangle
- You can find the area of the triangle by :
# Case (1)
Area the triangle = 1/2 × the length of the base × the length of the height
* Were the base is one of the three side and the height is the perpendicular from the vertex opposite to this side to this side
# Case (2)
Area the triangle = 1/2 × side1 × side2 × sin the including angle between these two sides
* In the problem
∵ Side1 = 533 feet
∵ Side2 = 525 feet
∵ The measure of the angle between them = 53°
* We will use the second case to find the area of the park
∴ The area of the park = 1/2 × 533 × 525 × sin(53) ≅ 111739 feet²
