Question

A rectangular garden 80 m long and 50 m wide . 100 square tiles each with 2m are uesd to build a path.find the area of the garden available for planting trees

Answer 1

Given :

• A rectangular garden 80 m long and 50 m wide .

• 100 square tiles each with 2m are uesd to build a path.

To find :

• The area of the garden available for planting trees =?

Step-by-step explanation:

A rectangular garden 80 m long and 50 m wide .[Given]

Length of rectangular garden = 80 m

Breadth of rectangular garden = 50 m

Now,

We have to find the Area of the rectangular garden,

So,

We have to find the area of rectangle,

We know that,

Area of Rectangle = length × breadth

Substituting the values in the above formula, we get,

= 80 × 50

= 4, 000.

Therefore, The Area of the rectangular garden = 4,000 m².

Now,

We have to find the Area of the square tiles,

Side of the square tiles = 2 m [Given]

We know that,

Area of Square = side²

Substituting the values in the above formula, we get,

= (2)²

= 2 × 2

= 4.

Therefore, The Area of one square tile = 4 m²

There are 100 square tiles are used to build a path,

So,

Area of 100 square tiles = Area of one square tile × 100

Substituting the values, we get,

= 4 × 100

= 400.

Therefore, The Area of 100 square tiles = 400 m².

Now,

We have to find the area of the garden available for planting trees,

So,

The area of the garden available for planting trees = The Area of rectangular garden - The Area of 100 square tiles.

Substituting the values, we get,

= 4000 - 400

= 3600.

Therefore, The area of the garden available for planting trees = 3600 m².

Answer 2

GIVEN :

• A rectangular garden 80 m long and 50 m wide .
• 100 square tiles each with 2m are uesd to build a path.

TO FIND :

• The area of the garden available for planting trees.

SOLUTION :

Length of the rectangular garden = 80 m.

Breadth of the rectangular garden = 50 m.

We know,

Area of rectangle=Length×Breadth

Area of the rectangular garden,

= (80 × 50 ) m²

=4000 m²

So, area of the rectangular garden is 4000 m².

✪ Now find the area of 100 Square tiles✪

Each side of square tile = 2 m.

So, area of Squre tile = (side)²

= 2² m²

= 4 m²

Area of 100 square tiles,

= (4×100 )m²

= 400 m²

✪ Now find the area of the garden available for planting trees.✪

Area of available for planting trees ,

= Area of rectangular garden - Area of 100 square tiles

= (4000 - 400) m²

= 3600 m²

Therefore, 3600 m² area of the garden is available for planting trees.