A square park.Has a 2 m.Wide cross road in middle of it if the side of the park is 100 m tjen find the remqining area of the park
Answers
Answer:9702 m square
Step-by-step explanation:
Given:
A square park of side 100 m
Two Cross roads of width = 2 m runs across the middle of the park
To find:
The remaining area of the park
Solution:
Formula to be used for solving the problem:
- Area of a square = Side²
Finding the area of the park:
Using the formula of the area we will find the area of the square park
∴ The area of the given park = 100² = 10000 m²
Finding the area of the crossroads:
The park has two crossroads 2 m wide running across the middle of the park, so we will find the area of the cross roads as follows:
We know that its a square park so we will have the length and breadth for both the crossroads as same.
∴ Area of the 1st crossroad = Area of the 2nd crossroad = 100 × 2 = 200 m
Also,
The area of the common portion with each side = 2 m, that lies exactly at the middle of the square park is given by,
= 2 × 2
= 4 m²
Now,
The area of the 2 crossroads is given by,
= [Area of the 1st crossroad] + [Area of the 2nd crossroad] - [Area of the common portion]
= [200 m²] + [200 m²] - [4 m²]
= 396 m²
Finding the remaining area of the park:
The remaining area of the park is given by,
= [Area of the square park] - [Area of the 2 crossroads]
= [10000 m²] - [396 m²]
= 9604 m²
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Also View:
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