Question

A courtyard 3.5 m is constructed all along outside a room which is 6 m long and 5 m wide. Find:
(i) The area of the courtyard.

(ii) The cost of cementing the floor of the verandah at the rate of Rs.300 per m2

Answer 1

Answer:

i) 126 m²

ii) Rs 37800

Step-by-step explanation:

Length of room, l = 6 m

Breadth of room, b = 5 m

Area of room = l × b = 6 × 5 = 30 m²

Courtyard is 3.5 m wide outside the room.

Length of the room with courtyard = l + 2(3.5) = 6 + 7 = 13 m

Breadth of the room with courtyard = b + 2(3.5) = 5 + 7 = 12 m

Area of the room with the courtyard = l × b = 13 × 12 = 156 m²

i) Area of courtyard = Area of the room with courtyard - Area of room

= 156 - 30 = 126 m²

ii) Cost of cementing = Rs 300 × 126 = Rs 37800