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Q.

A rectangular wall of length 3.75 m and height 3 m has a square bay window of side 1.5 m. The portion of the wall excluding the window is painted at the rate of Rs 24 per square metre. How much amount is spent on painting the wall?

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a

Rs 280

b

Rs 216

c

Rs 180

d

Rs 380

answer is B.

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Detailed Solution

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The length of the wall = 3.75 m

The height of the wall = 3 m

Therefore, the area of the wall = 3.75 m × 3 m = 11.25 m2

Length of each side of the bay window = 1.5 m

Therefore, area of the square window = side × side = 1.5 m × 1.5 m = 2.25 m2

Therefore, the area of the wall that was painted = area of the wall − an area of the window

= 11.25 m2 − 2.25 m2 = 9 m2

The rate of painting the wall is Rs 24 per square metre.

Thus, the amount spent in painting the wall = Rs (9 × 24) = Rs 216.

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