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The cost of ploughing a square field at Rs.16 per square meter is Rs. 65536. Find the measurement of side of square.
1. 64 m
2. 16 m
3. 8 m
4. 32 m

1 Answer

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Correct Answer - Option 1 : 64 m

Given:

The total cost of ploughing = Rs. 65536

Per meter square cost of ploughing = Rs.16 

Formula Used:

Area of square = Side × Side

Total cost = Area of field × Per meter square cost

Calculation:

The total cost of ploughing = Area of field × Per meter square cost of ploughing

⇒ 65536 = Area of field × 16

⇒ 65536/16 = Area of field

⇒ 4096 m2 = Area of field

Area of field = Area of Square

Area of square = (Side)2

⇒ 4096 = (Side)2

⇒ √4096 = side

⇒ 64 m = side

∴ The side of the square is 64m.

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