A room 8.3m long and 5.4m wide is surrounded by a verandah all round. The
verandah is 1.4m wide. Find the cost of cementing the verandah at Rs. 2 per
square metre.
Answers
Given,
length of the room, l = 8.3 meter
width of the room, b = 5.4 meter
verandah surrounding the room = (l + 1.4 + 1.4) meter and (b + 1.4 + 1.4) meter
Rate of cementing verandah = Rs 2 per meter
To find,
Cost of cementing the verandah = ?
Solution,
Area covered by room = length × breadth
= 8.3 × 5.4 meters
= 44.82 sq meters
Area of room with attached verandah = length × breadth
= (8.3 + 1.4 + 1.4) × (5.4 + 1.4 + 1.4 )
= (11.1) × (8.2) meters
= 91.02 sq meters
Therefore, area of the verandah = area of room attached with verandah -
area of room
= 91.02 - 44.82 sq meters
= 46.2 sq meters
Rate of cementing verandah per sq meter = Rs 2
Cost of cementing 46.2 sq meters = 46.2 × 2
= Rs 92.4
Hence the cost of cementing the verandah is Rs 92.4