Width of a room is half of its height and height of room is 3/2 times

1.	Width of a room is half of its height and height of room is 3/2 times of its length. If cost of flooring carpet on floor at the rate of Rs 4/m2 is Rs 432, then what will be height of room? (1) 18 m (2) 20 m (3) 12 m (4) 15 m
Answer» (1) 18 m l = x h = 3/2 x w = 1/2 . 3/2 x = 3/4 x ∴ Area of floor = 3/4 x² 4 x 3/4 x²= 432 x²= 144 x = 12 ∴ height = 3/2 x = 18

Width of a room is half of its height and height of room is 3/2 times of its length. If cost of flooring carpet on floor at the rate of Rs 4/m2 is Rs 432, then what will be height of room? (1) 18 m (2) 20 m (3) 12 m (4) 15 m

Answer»

(1) 18 m

l = x

h = 3/2 x

w = 1/2 . 3/2 x

= 3/4 x

∴ Area of floor = 3/4 x²

4 x 3/4 x²= 432

x²= 144

x = 12

∴ height = 3/2 x = 18

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Width of a room is half of its height and height of room is 3/2 times of its length. If cost of flooring carpet on floor at the rate of Rs 4/m2 is Rs 432, then what will be height of room? (1) 18 m (2) 20 m (3) 12 m (4) 15 m

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