A table cover 4 m x 2 m is spread on a table. Find the cost of polishing the top of the table at र40 per square metre of 25 cm table cover is hanging all round the table.

For table cover
l = 4 – (0.25 + 0.25)
| ∵ 25 cm = 0.25 m
= 3.5 m b = 2 – (0.25 + 0.25) = 1.5 m
∴ Area of the cover = l x b
= 3.5 x 1.5 = 5.25 m2 Cost of polishing the top of the table at र 40 per square metre = 5.25 x 40 = र 210.

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The cost of papering the four walls of a room at 70 paise per square metre is र 157.50. The height of the room is 5 metres. Find the length and the breadth of the room if they are in the ratio 4 : 1.

Let the length and the breadth of the room be 4x m and x m respectively.
Area of the four walls of the room = 2(l + b) h
= 2(4x + x) 5 = 50 x m2
Cost of papering the four walls of the room @ 70 paise per square metre
= र 50x x 0.70 = र 35x According to the question,
35x = 157.50

rightwards double arrow space space space space space space space space space space straight x equals space fraction numerator 157.50 over denominator 35 end fraction equals 4.5

∴ Breadth of the room = 4.5 m
∴ Length of the room = 4 x 4.5 m = 18 m. 

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A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of र 50 per metre, the sheet being 2 m wide.

For tank
I = 12 m b = 9 m h = 4 m Total surface area of the tank
= 2 (I x b + b x h + h x l)
= 2(12 x 9 + 9 x 4 + 4 x 12),
= 2(108 + 36 + 48)
= 2(192) = 384 m2 Width of the iron sheet = 2 m

∴ Length of the iron sheet = 384 over 2 equals 192 space straight m

Cost of the iron sheet = 192 x 50 = र 9600.



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A classroom is 7 m long, 6.5 m wide and 4 m high. It has one door 3 m x 1.4 m and three windows each measuring 2 m x 1 m. The interior wall is to be colour washed. Find the cost of colour washing at the rate of र 3.50 per m2.

For classroom
l = 1 m b = 6.5 m h = 4 m Area to be colour washed
= 2(l + b) h – [3 x 1.4 + 3 {2 x 1}] = 2(7 + 6.5) 4 – (4.2 + 6)
= 108 – 10.2 = 97.8 m2
Cost of colour washing = 97.8 x 3.50 = र 34.30

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The length of a hall is 20 m and width 16 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.


Let the height of the hall be h m.
Area of the floor = l x b
= 20 x 16 = 320 m2 Area of the flat roof = l x b
= 20 x 16 = 320 m2 Sum of the areas of the four walls = 2(l + b) h
= 2(20 + 16) h = 72 h m2 According to the question,
72 h = 320 + 320

rightwards double arrow space space space space space 72 straight h space equals space 640 space space space space rightwards double arrow space straight h equals 640 over 72
rightwards double arrow space space space space space straight h space equals space 80 over 9 space straight m

Hence, the height of the hall is 80 over 9 space straight m.

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