(3)
. The dimensions of a rectangular park is
100 m x 60 m. A 2 m width path made
around the rectangular park. The area
(in my of the path is
(JNV 2015]
Answers
Step-by-step explanation:
Given:-
The dimensions of a rectangular park is
100 m x 60 m. A 2 m width path made
around the rectangular park.
To find:-
Find the area of the Path?
Solution:-
Given that ;
Length of the rectangular park = (l)=100 m
Breadth of the rectangular park =(b)=60 m
We know that
Area of a rectangle = lb sq.units
Area of the given rectangular park
= 100×60 sq.m
= 6000 sq.m
Width of the path which is around outside of the park = (w)=2 m
Length of the new rectangular shape = l+2w units
=> 100+2(2) m
=> 100+4 m
=> 104 m
Breadth of the new rectangular shape = b+2w units
=> 60+2(2) m
=> 60+4 m
=> 64 m
Area of the new rectangular shape =
= 104 × 64 sq.m
= 6656 sq.m
Area of the path = Area of the new rectangular shape - Area of the original rectangular park
=> 6656sq.m-6000 sq.m
=> 656 sq.m
Area of the path = 656 sq.m
Shortcut:-
l = 100 m
b = 60 m
w = 2 m
It is around outside
Area of the path = (l+b+2w)2w sq.units
=>[ (100+60+2(2)]2(2) sq.m
=> (160+4)(4) sq.m
=> (164)(4) sq.m
=> 656 sq.m
Answer:-
Area of the path for the given problem is
656 sq.m
Used formulae:-
- Area of the rectangle = lb sq.units
- Area of the path = (l+b+2w)2w sq.units
- l=length
- b=breadth
- w=width of the path