Question

A path of uniform width 5m runs round the inside of a rectangular park 38m wide. find the area of the path .​

Answer 1

Correct Question:

A path of uniform width 5m runs round the inside of a rectangular park 38m long and 32 m wide. find the area of the path

Answer:

The area of the path is 600 m²

Step-by-step explanation:

Given :

• A rectangular park is 38 m long and 32 m wide .

• A path of 5m width is runs round the inside of 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 = 38 m × 32 m

➙ Area of the rectangular park = 1216 m²

To find the area of the path, we must know the area of the park without path.

Area of the park without path,

length = length of the rectangular park - 2(width of the path)

length = 38 m - 2(5 m)

length = 38 m - 10 m

length = 28 m

breadth = width of the rectangular park - 2(width of the path)

breadth = 32 m - 2(5 m)

breadth = 32 m - 10 m

breadth = 22 m

➙ Area of the park without path = 28 m × 22 m

➙ Area of the park without path = 616 m²

Area of the path,

As the path runs round the inside of the rectangular park,

➙ Area of the path = Area of the rectangular park  - area of the park without path

➙ Area of the path = 1216 m² - 616 m²

➙ Area of the path = 600 m²

Therefore, the area of the path is 600 m²