Question

3. A room 3.3 metre high is half as long as it is
wide and its volume is 123whole 3/4.Find its length and breadth.
(a) 7.5 m, 6 m
(b) 8 m, 5 m
(c) 7.5 m, 5 m
(d) 8.5 m, 5 m​

Answer 1

Answer:

c is the correct answer that is 8m,5m

Answer 2

Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Height of room = 3.3 metre

width of room be 'x'.

length of room  be $\dfrac{x}{2}$

Volume of room = $123\dfrac{3}{4}=\dfrac{369}{4}$

According to question, it becomes,

$length\times breadth\times height=\dfrac{495}{4}\\\\\dfrac{x}{2}\times x\times 3.3=\dfrac{495}{4}\\\\\dfrac{x^2}{2}=\dfrac{495}{3.3\times 4}\\\\\dfrac{x^2}{2}=\dfrac{150}{4}\\\\x^2=\dfrac{150}{2}\\\\x^2=75\\\\x=\sqrt{75}\\\\x=8.6\\\\x\approx 8\ m$

So, length would be $\dfrac{8.6}{2}=4.3\approx 5\ m$

Hence, Option 'b' is correct.

# learn more:

The area of 4 walls of a room is 77 m² .the length and breadth the room drive 7.5 m and 3.5 m find the height of the room

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