Question

A rectangular park is 40m long and 30m wide. A path 5m wide is constructed outside the park .Find the area of the park

Answer 1

Correct Question:

A rectangular park is 40m long and 30m wide. A path 5m wide is constructed outside the park .Find the area of the path.

Answer:

Area of the path = 800 m²

Step-by-step explanation:

Given :

• A rectangular park is 40m long and 30m wide

• A path 5m wide is constructed outside the park

To find :

the area of the path

Solution :

Let's first find the area of the rectangular park.

➙ Area of the rectangular park = length × width

➙ Area of the rectangular park = 40 m × 30 m

➙ Area of the rectangular park = 1200 m²

To find the area of the path, we must know the area of the park with path.

Area of the park with path,

• length = length of the rectangular park + 2(width of the path)

length = 40 m + 2(5 m)

length = 40 m + 10 m

length = 50 m

• breadth = width of the rectangular park + 2(width of the path)

breadth = 30 m + 2(5 m)

breadth = 30 m + 10 m

breadth = 40 m

➙ Area of the park with path = 50 m × 40 m

➙ Area of the park with path = 2000 m²

Area of the path,

➙ Area of the path = Area of the park with path - Area of the park

➙ Area of the path = 2000 m² - 1200 m²

➙ Area of the path = 800 m²