Question

The length of a room is twice its height and its breadth is 1 ? times its height. The cost of distempering the wall at the rate of Rs 14.85 per sq mis Rs 1663.20.
Find the cost of cementing the floor at the rate of Rs 6.75 per Sq m.

Answer 1

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Let the length be l

             height be h

             breadth be b

By the given conditions,

l = 2h and

b = h

Walls means the lateral surface area or LSA

= 2h(l+b)

= 2h(2h+h) = 2h*3h = 6h²

Cost of 1 sq m = 14.85

Cost of 6h² sq m = 14.85*6h² = 1663.2

14.85*6h² = 1663.2

h² = 1663.2/89.1 = 18.6

h = √18.6

h = 4.3

Therefore,

h = 4.3m

l = 2h = 2*4.3 = 8.6m

b = h = 4.3m

Area of floor = lb = 8.6*4.3 = 36.98m²

Cost for 1m² = 6.75

Cost for 36.98m² = 6.75*36.98 = 249.615

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