Question

The cost of leveling a square park at Rs.15 per square meter is Rs.6000. Then the side of the square is ________. *
35m
40m
75m
20m

Answer 1

20 m is the answer
Total cost= ₹6000
Cost per square meter = ₹15
There ₹6000/₹15
= area =400m square
Therefore one side = root 400
Which is 20m

Answer 2

${\underline {\boxed {\Large {\bf \purple { Option \: D! } }}}}$

Given:

• Cost of levelling per m² = Rs. 15

• Total cost of levelling the park = Rs. 6000

To calculate:

• The side of the park.

Calculation:

If cost of levelling per m² of the park is Rs. 15. So,

→ Total cost of levelling the park = Rs. 15 × Area of the park

• We are given that the total cost of levelling the park is Rs. 6000. So,

→ 6000 = 15 × Area of the park

~ Transposing 15 from R.H.S to L.H.S.

→ $\sf {\dfrac{6000}{15} }$ m² = Area of the park

~Performing division.

→ 400 m² = Area of the park

Now, calculating side of the park. We know that,

→ Area of square = (Side)²

• As we got the area of the square park previous, by substituting that value :

→ 400 m² = (Side)²

→ √(400 m²) = Side

~Finding the square root of 400 by prime factorization :

2 | 400

2 | 200

2 | 100

2 | 50

5 | 25

5 | 5

⠀| 1

⠀⇒ 400 = 2 × 2 × 2 × 2 × 5 × 5

⠀⇒ √400 = 2 × 2 × 5

⠀⇒ √400 = 20

→ 20 m = Side

Therefore, side of the park is 20 m.