Exercise 15.2
1. A garden is 90 m long and 75 m broad. A path 5 m wide is to be built all around (outside) it along its
border. Find the area of the path.
2
sir 100 Kaha sai aaya
Answers
Full explanation in the attachment thanks
Given :
• Length of a garden = 90 m
• Breadth of a garden = 75 m
• Width of the path which is to be constructed outside the garden = 5 m
To find :
• Area of the path
Solution :
Using formula,
→ Area of rectangle = l × b
where,
- l = length
- b = breadth
Substituting the given values,
→ Area of garden = 90 × 75
→ Area of garden = 6750
Therefore, the area of garden = 6750 m²
Dimensions of the garden including the path :-
→ Length = 90 + 5 + 5 = 100 m
→ Breadth = 75 + 5 + 5 = 85 m
→ Area of the garden including the path = l × b
→ Area of the garden including the path = 100 × 85
→ Area of the garden including the path = 8500
Therefore, area of the garden including the path = 8500 m²
Area of the path = Area of the garden including the path - Area of the garden
→ Area of the path = 8500 - 6750
→ Area of the path = 1750
Therefore,
- The area of path = 1750 m²