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A rectangular lawn 70 m x 30 m has two roads each 5 metres wide, running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling the road at the rate of $₹ 4$ per square metre.

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$₹ 2, 000$

$₹ 1, 800$

$₹ 1, 900$

$₹ 1, 700$

answer is C.

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Detailed Solution

Total area of road

= Area of road which parallel to length+ Area of road which parallel to breadth - overlapped road

$\begin{array}{l} = 70 \times 5 + 30 \times 5 - 5 \times 5 = 350 + 150 - 25 \\ = 500 - 25 = 475 m^{2} \end{array}$

$∴$ Cost of gravelling the road

$= 475 \times 4 = ₹ 1900$

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