Sarthaks Test
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A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m 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 m2.

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(i)The length of room = 5.5 m and width of the room = 4 m

The length of room with verandah

= 5.5 + 2.25 + 2.25 = 10 m

The width of room with verandah

= 4 + 2.25 + 2.25 = 8.5 m 

Area of verandah

= Area of room with verandah – Area of room without verandah

= Area of ABCD – Area of EFGH

= (AB x AD) – (EF x EH)

= (10 x 8.5) – (5.5 x 4)

= 85 – 22

= 63 m2 

(ii) The cost of cementing 1 m2 the floor of verandah = Rs 200

The cost of cementing 63 m2 the floor of verandah = 200 x 63 = Rs 12,600

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