(Q)A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m then find the remaining area of the park.
A)
9650 m2
B)
9596 m²
C)
9600 m
D) O 9604 m2
None of these
e)
Answers
Answer:
9604 m².
Step-by-step explanation:
Given,
A square park has a 2 m wide cross road in middle of it.
The side of park is 100 m.
To Find,
The remaining area of the park.
So,
First we'll find the area of the park.
Using the formula of area, i.e., area = side².
⇒ The area of the park = 100² = 10000 m².
Now,
We'll find the area of the crossroads
As given that there are 2 crossroads 2m wide.
So,
Area of both crossroads will be the same
= 100 x 2 = 200 m.
Now,
For the area of the common portion with each side = 2m which lies exactly at the middle of the square park is:
= 2 x 2
= 4 m².
Now,
The area of the 2 crossroads will be:
Area of both crossroads combined - area of the common portion
= 200 + 200 - 4
= 400 - 4
= 396 m².
Now,
To find the remaining area of the park
= area of park - area of the crossroards
= 10000 - 396
= 9604 m²
Hence, the answer is 9604 m².
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Question:
A square park has a 2 m wide crossroad in the middle of it. If the side of the park is 100 m then find the remaining area of the park.
A) 9650 m²
B) 9596 m²
C) 9600 m²
D) 9604 m²
e) None of these
Answer:
The remaining area of the park is 9604 m².
Step-by-step explanation:
Given:
A square park side 100 m
To find:
The remaining area of the park.
Step 1
To find the area of the park:
The area of the given park = side²
= 100² = 10000 m²
To find the area of the crossroads:
The park contains two crossroads 2 m broad running across the middle of the park, estimate the area of the crossroads as pursued:
We know that it's a square park.
Consider, the length and breadth of both the crossroads as the exact.
Area of the 1st crossroad = Area of the 2nd crossroad
= 100 × 2 = 200 m
Step 2
The area of the common portion with each side = 2 m,
that lies exactly in the center of the square park exists given by,
= 2 × 2
= 4 m²
The area of the 2 crossroads exists 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
Step 3
The remaining area of the park exists given by,
= [Area of the square park] - [Area of the 2 crossroads]
= [10000 m²] - [396 m²]
= 9604 m²
The remaining area of the park is 9604 m².
Therefore, the correct answer is option D) 9604 m².
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