A Square park is of side 100 m. A path 5 m wide is made all around the garden inside it. Find the area of the path.
Answers
Answer:
Step-by-step explanation:
area of path= area of outer square-area of inner square
= [(side)^2]-[(side)^2)
= [100*100]-[(100-10)*(100-10)]
= 10000-[90*90]
= 10000-8100 =1900 meter square
Answer:
Given :-
A square park is of side 100 m. A path 5 m wide is made all around the garden inside it.
To Find :-
What is the area of the path.
Formula Used :-
★ Area of a square = Side × Side ★
Solution :-
First, we have to find the area of a square park,
Given :
Side = 100 m
According to the question by using the formula we get,
↦ Area of a square park = 100 m × 100 m
➙ Area of a square park = 10000 m²
Then, we have to find the side of a inner garden,
Given :
Side = 100 m
Wide of a path = 5 m
Then,
↦ Side of a inner garden = 100 m - (5m + 5 m)
↦ Side of a inner garden = 100 m - 10m
➠ Side of a inner garden = 90 m
Again, we have to find the area of the inner garden,
Given :
Side = 90 m
Then,
↪ Area of the inner garden = 90 m × 90 m
➤ Area of the inner garden = 8100 m²
Now, we have to find the area of the path,
As we know that,
✧ Area of the path = Area of square park - Area of inner garden ✧
Given :
Area of square park = 10000 m²
Area of inner garden = 8100 m²
According to the question by using the formula we get,
⇒ Area of the path = 10000 m² - 8100 m²
➦ Area of the path = 1900 m²
∴ The area of the path is 1900 m² .