a garden is 50m long and 42m broad. a path of 2m wide is built outside and around it. find the area of path
Answers
Area of the path is 384m^2.
The area of path is 384 m².
Given:
- A garden
- Length 50 m, breadth 42 m
- Path of 2m wide is built outside and around it.
To find:
- Find Area of path.
Solution:
Formula to be used:
- Area of rectangle: length×breadth
Step 1:
Find the area of garden.
Area of rectangle ABCD:
it's length = 50 m
Breadth = 42 m
Area of rectangle ABCD = 50×42 m²
= 2100 m²
Step 2:
Find length and breadth of rectangle A'B'C'D'.
Length A'B'= 50+2+2 = 54 m
Breadth B'C'= 42+2+2= 46 m
Area of rectangle A'B'C'D = 54×46 m²
= 2484 m²
Step 3:
Subtract area of both rectangle in order to find the area of path.
Area of path = 2484-2100 m²
Area of path = 384 m²
Thus,
Area of path is 384 m².
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