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Question

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 200perm2.


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Solution

Step 1: Calculate the area of the room.

The length of the room (L)=5.5m

The breadth of the room (B)=4m

Area of the room = length × breadth

=5.5×4=22m2

Step 2: Calculate the area of the verandah.

The new length and breadth of the room when the verandah is included are10mand8.5m respectively.

A new area of the room when verandah is included =10×8.5

=85m2

The area of verandah = Area of the room when verandah is included Area of the room

=8522=63m2

Step 3: Calculate the cost of cementing the floor.

The cost of cementing the floor of the verandah at the rate of 200perm2.

Then the cost of cementing the 63m2 area of the floor of the verandah =200×63

=12600

Hence, the area of the verandah is 63m2 and the cost of cementing the area of the floor of the verandah is 12600.


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