Question

A square park is of side 100 m. A path 5 m wide is made all around the garden inside it. Find the area of the path .​

Answer 1

Answer:

The area of the path = 1900 m²

Step-by-step explanation:

Given that:

• A square park is of side 100 m.
• A path 5 m wide is made all around the garden inside it.

Finding each side of square park if length of path is excluded:

Each side = 100 - (5 + 5) m = 100 - 10 m = 90 m

To find:

• The area of the path.

Formula used:

Area of square = (side)² sq. unit

Finding the area of the path:

= Area of square park - Area of park excluded the path.

= (100)² - (90)² m²

= 10000 - 8100 m²

= 1900 m²

Answer 2

Answer:

Given :-

• A square park is of side 100 m. A path 5 m wide is made all around the garden inside it.

To Find :-

• What is the area of the path.

Formula Used :-

★ Area of a square = Side × Side ★

Solution :-

First, we have to find the area of a square park,

Given :

• Side = 100 m

According to the question by using the formula we get,

↦ Area of a square park = 100 m × 100 m

➙ Area of a square park = 10000 m²

Then, we have to find the side of a inner garden,

Given :

• Side = 100 m
• Wide of a path = 5 m

Then,

↦ Side of a inner garden = 100 m - (5m + 5 m)

↦ Side of a inner garden = 100 m - 10m

➠ Side of a inner garden = 90 m

Again, we have to find the area of the inner garden,

Given :

• Side = 90 m

Then,

↪ Area of the inner garden = 90 m × 90 m

➤ Area of the inner garden = 8100 m²

Now, we have to find the area of the path,

As we know that,

✧ Area of the path = Area of square park - Area of inner garden ✧

Given :

• Area of square park = 10000 m²
• Area of inner garden = 8100 m²

According to the question by using the formula we get,

⇒ Area of the path = 10000 m² - 8100 m²

➦ Area of the path = 1900 m²

∴ The area of the path is 1900 m² .