A rectangular garden 78 metres long and 35 metres broad has a uniform path 1 metre wide all around it on the outside.find the area of the path.
Answers
The area of the path is 230 m².
Given data :
Length of the garden = 78 metres
Width of the garden = 35 metres
Width of the path = 1 metre
• At first we have to calculate the area of the garden without the path by using the following mathematical formula
= Length × Breadth
= 78×35
= 2730 metre²
• Now,the length of the garden including the path = {78+(2×1)} = (78+2) = 80 metres
( ×2 because path is included into both sides)
• Now,the breadth of the garden including the path = {35+(2×1)} = 37 metres
• So,the area of the garden including the path
= (80×37)
= 2960 metre²
• So,the area of the path
= (Area of the garden including the path - Area of the garden)
= (2960-2730) m²
= 230 m² (answer)
Answer is 230m²
Step-by-step explanation:
Let PQRS be the rectangular garden and ABCD be the external boundary of the path. So, we have
Length PQ = 78 m
Breadth OR = 35 m
Area of rectangle PQRS = PQ × OR
= 78m × 35m
= 2730m²
Length AB = 78m + 1m + 1m = 80m
Breadth BC = 35m+ 1m + 1m = 37m
Area of rectangle ABCD = AB × BC
= 80m × 37m
= 2960m²
Area of path = Area of rectangle ABCD - Area of rectangle PQRS
= 2960m² - 2730m²
= 230m²
Thus, area of path = 230m²