Discussion
The area of a square field is 3136 sq. m. Barbed wire is to be drawn 3 rounds around the field at the rate of Rs. 1.50 per metre. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Answer: C
Find the side, then the length of wire once the gates are deducted.
\[ \text{side} = \sqrt{3136} = 56 \text{ m} \quad\Longrightarrow\quad \text{perimeter} = 224 \text{ m} \]
Two gates of 1 m each are left open:
\[ 224 - 2 = 222 \text{ m per round} \]
\[ \text{total wire} = 222 \times 3 = 666 \text{ m} \]
\[ \text{cost} = 666 \times 1.50 = \text{Rs. } 999 \]
The gates must be subtracted before multiplying by the three rounds, since every round skips them.
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