A room 9.5 m long and 6 m wide is surrounded by a 1.25-m-long verandah. Calculate cost of cementing the floor of this verandah at Rs 80 per m².

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Solution

Let EFGH denote the floor of the room.
The white region represents the floor of the 1.25 m verandah.

Length, EF = 9.5 m
Breadth, FG = 6 m

∴ Area of EFGH = 9.5 m $\times$ 6 m = 57 m²

Length, AB = (9.5 + 1.25 + 1.25 ) m = 12 m
Breadth, BC = ( 6 + 1.25 + 1.25 ) m = 8.5 m
∴ Area of ABCD = 12 m $\times$ 8.5 m = 102 m²

Area of the verandah = Area of ABCD − Area of EFGH
= 102 m²− 57 m²
= 45 m²
Rate of cementing the verandah = Rs 80 per m²

∴ Total cost of cementing the verandah = Rs ( 80 $\times$ 45)
= Rs 3600

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A room 9.5 m long and 6 m wide is surrounded by a 1.25-m-long verandah. Calculate cost of cementing the floor of this verandah at Rs 80 per m2.

A room 9.5 m long and 6 m wide is surrounded by a 1.25-m-long verandah. Calculate cost of cementing the floor of this verandah at Rs 80 per m².