The cost of painting a room with height and length equal to 3 m and 6 m respectively is Rs. 600. If the cost is Rs. 10 per square meter, then find the length of room's breadth.

2 m

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3 m

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4 m

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5 m

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Solution

The correct option is C
4 m

Let the length, breadth and height of the room be l, b and h respectively.

Surface area of the walls

2 (lh + bh) = 2 (6 $\times$ 3 + b $\times$ 3) = 6 (6 + b)

Cost of painting = Rs. (10 $\times$ 6 (6 + b))

From question,

10 $\times$ 6 (6 + b) = 600

6 + b = 10

b = 4 m

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The cost of painting a room with height and length equal to 3 m and 6 m respectively is Rs. 600. If the cost is Rs. 10 per square meter, then find the length of room's breadth.

The correct option is C 4 m Let the length, breadth and height of the room be l, b and h respectively. Surface area of the walls 2 (lh + bh) = 2 (6 × 3 + b × 3) = 6 (6 + b) Cost of painting = Rs. (10 × 6 (6 + b)) From question, 10 × 6 (6 + b) = 600 6 + b = 10 ​ b = 4 m