A rectangular park is 60m long and 25m wide.A path 2.5m wide is constructed outside the park . Find the area of path
Answers
Answer:
area of Park=l×b =45×30=1350cm
2
area of Park with path is
45+2.5+2.5×30+2.5+2.5=1750 cm
dare for area of path=area of Park with path-area of rectangular park
1750-1350=400cm
★ Given :-
smaller rectangle :
- Length of smaller rectangle is 60 m.
- Breadth of smaller rectangle is 25 m.
Larger rectangle :
- 2.5 m wide path runs all around outside smaller rectangle.
★ To Find :-
- Area of the path ?
★ Solution :-
● First we'll find the area of smaller rectangle :-
We have,
Length = 60 m, Breadth = 25 m.
◆ We know that,
Area of smaller rectangle = length × breadth
Now substitute the values :-
↦ Area of smaller rectangle = (60 × 25) m
↦ Area of smaller rectangle = 1500 m²
● And now we will find the area of the larger rectangle.
● First we'll find the length and breadth of the area of larger rectangle :-
∴ Length of larger rectangle = length of smaller rectangle + 2 + 2
↦ 60 + 2 + 2 = 64
∴ breadth of larger rectangle = Breadth of smaller rectangle + 2 + 2
↦ 25 + 2 + 2 = 29
Now, We have :
Length = 64 m, breadth = 29 m
◆ As we know that,
Area of large rectangle = length × breadth
Now substitute the values :-
↦ Area of larger rectangle = (64 × 29) m
↦ Area of larger rectangle = 1856 m²
Now, Area of path = Area of larger rectangle - Area of smaller rectangle.
↦ Area of path = 1856 - 1500
↦ Area of path = 356 m²
■ Hence, the Area of the path is 356 m².