Question

5. A verandah of width 6.75 m is constructed all
along outside of a room which is 22.5 m long
and 14 .5 m wide, find :
(a) the area of verandah.
(b) the cost of putting the tiles in the verandah
the rate of 20 per m² .​

Answer 1

Answer:

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• Given

Width of the Verandah = 4.75 m

Dimensions of a room -

Length of the room = 20.5 m

Breadth of the room = 15.5 m

• To find

Area of the Verandah

Cost of putting the tiles in the Verandah at the rate of Rs. 20 per m²

• Concept

We have the value of dimensions of a room. Firstly, we will find the area of the room.

Then, we have the width of the Verandah add (4.5 + 4.5) m in both length and breadth. That will be the dimensions of the (Room + Verandah).

Area of Verandah = Area of room + Verandah - Area of room.

To find the cost, multiply the area of Verandah with Rs.20.

• Solution

• Area of room

Area=length×breadth

Substitute the given values,

⟶ 20.5 × 15.5

⟶ 317.75 m²

Area of room = 317.75 m²

• Dimensions of the verandah + room -

Length = 20.5 + 4.75 + 4.75 = 30 m

Breadth = 15.5 + 4.75 + 4.75 = 25 m

• Area of the Room including Verandah

Area=length×breadth

⟶ 30 × 75

⟶ 750 m²

Area of room + Verandah = 750 m²

Area of Verandah = Area of Room + Verandah - Area of room

⟶ (750 - 317.75) m²

⟶ 432.25 m²

Area of Verandah = 432.25 m²

Cost putting the tiles in the verandah the rate of Rs. 20 per m square = 432.25 × 20 = Rs. 8,645

Answer 2

Answer:

A verandah of width 2.25m is constructed all along outside a room which is 5.5m long and 4m wide. Find

(i) The area of the verandah.

(ii) The cost of cementing the floor of the verandah at the rate of Rs 200 per sq.m.

Given: Length of room =5.5m,

Width of room =4m,

Width of verandah which is constructed all along outside of room =2.25m,

Cost of cementing of verandha = Rs 200 per sq.m

∴, Length of room with verandah=5.5+2.25+2.25=10m

Width of room with verandah=4+2.25+2.25=8.5m

Area of room=Length×Width=5.5×4=22m

2

Area of room with verandah= Length×Width=10×8.5=85m

2

Area of verandah=Area of room with verandah−Area of room=85−22=63m

2

Cost of cementing of verandah=Area×Rate=63×Rs.200=Rs.12600