A public park that is 20 m long and 10 m wide has two square garden plots 8 m long. If the cost of laying the pavements in the remaining area of the public park costs ₹3.75 per sq. metre, what is the total cost of laying the pavements.

₹ 750

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₹ 370

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₹ 270

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₹ 190

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Solution

The correct option is C ₹ 270
Area of the public park, $A_{1} = 20 \times 10 = 200 m^{2}$

Given, side of garden = 8 m
$∵$ area of a square = side $\times$ side
$∴$ Area of the garden plot, $A_{2} = 8 \times 8$
$= 64 m^{2}$
$∴$ Area of two garden plots = $2 \times 64$
= $128 m^{2}$

Remaining area of the public park = $A_{1} - (2 \times A_{2})$
= $200 - 128$
= $72 m^{2}$

Total cost of laying pavements = Area to be paved $\times$ cost per sq. metre
= $72 \times 3.75$
= $₹ 270$

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