Question

a lawn 10 m by 8 m is surrounded by a. path 1m wide find the area of the path​

Answer 1

Given

• Dimensions of a lawn :-
• Length of the lawn = 10 m
• Breadth of the lawn = 8 m
• The lawn is surrounded by a path of 1 m breadth.

To find

• Area of the path

Solution

We have the values of the dimensions of the lawn. Firstly, we will find the area of the lawn.

Area of the lawn = l × b

where,

• l = length of the lawn
• b = breadth of the lawn

Substituting the given values,

⟼ Area of the lawn = 10 × 8

⟼ Area of the lawn = 80 m²

Now, we will find the dimensions of the (lawn + path) and then we will find its area.

Dimensions of the lawn including the path -

• Length of the lawn including the path = 10 + 1 + 1 = 12 m
• Breadth of the lawn including the path = 8 + 1 + 1 = 10 m

Area of the lawn including the path = l × b

Substituting the given values,

⟼ Area = 12 × 10

⟼ Area = 120 m²

Area of the lawn including the path = 120 m²

• Area of the path = Area of the lawn including the path - Area of the lawn.

⟼ Area of the path = 120 - 80

⟼ Area of the path = 40 m²

Area of the path = 40 m²