Question

a rectangular garden 30 metre long and 25 metre wide has a path 2.5 metre wide running all around inside it
​

Answer 1

Given :-

Length of the rectangular garden = 30 m

Breadth of the rectangular garden = 25 m

Width of the path = 2.5 m

To Find :-

The area of the path.

Analysis :-

First find the area of the rectangular park by it's respective formula.

Then find the area including the path accordingly.

Finally, subtract the area of the rectangle from area including the path in order to get the area of path.

Solution :-

We know that,

• l = Length
• b = Breadth
• a = Area

By the formula,

$\sf \underline{\boxed{\sf Area \ of \ the \ rectangle=Length \times Breadth}}$

Given that,

Length (l) = 30 m

Breadth (b) = 25 m

Substituting their values,

Area = 30 × 25

Area = 750 m²

Finding the new dimensions,

Length (l) = 30 - (2.5 + 2.5) = 25 m

Breadth (b) = 25 - (2.5 + 2.5) = 20 m

Given that,

Width of the path = 2.5 m

Finding it's area,

Area = 25 × 20

Area = 500 m²

According to the question,

Area of path = Area of the rectangular including path - Area of rectangle

By substituting,

Area of path = 1050 - 500

Area = 250 m

Therefore, the area of the path is 250 m².