Question

A square Park is of side 100 M A pass 5 metre wide is made all around the garden inside it find the area of the path

Answer 1

Answer:

Step-by-step explanation:

Side of the square park (s) = 100 m

Width of the path made = 5 m

Sides of the path form a square

Side of the square made by the path

S = 100+5+5

S = 110 m

Area of the path

= ar(bigger square) - ar(smaller square)

= S² - s²

= 110² - 100²

= 12100 - 10000

= 2100 m²

Hence, area of the path is 2100 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 .