Question

1. A rectangular garden 30 m long and 25 m wide has a path 2.5 m wide running all around
inside it. Find the area of the path.​

Answer 1

Answer : 250 m²

Step by step explanation :

Let's find the Outer area of the path and then inner area.

Outer Area of the path

= 30m × 25 m

=750 m²

Inner length of path =

30 m - (2.5m + 2.5m )

=> 30m - 5m

=> 25m

Inner breadth = 25m - ( 2.5 m + 2.5 m )

=> 25m - 5m

=> 20m

Inner Area = Inner Length × Inner Breadth

= 25m × 20m

= 500 m²

.°. Area of the path = Outer Area - Inner Area

= 750 m² - 500m²

= 250m²

Thus,

Area of the path = 250 m²

Answer 2

Answer:

Area of the larger garden :

$\tt{30 \times 25 = 750 m^{2}}$

Dimensions of smaller rectangle :

Length = 30 - 2.5 - 2.5 = 25 m

Breadth = 25 - 2.5 - 2.5 = 20 m

Area of the smaller garden :

$\tt{25 \times 20 = 500 m^{2}}$

Area of the path :

Area of the larger rectangle - Area of the smaller rectangle :

$\tt{750 m^{2} - 500 m^{2} = 250 m^{2}}$