The length and breadth ratio of an auditorium is 3 : 2. If the roof area is 216 square meters and the area of the four walls is 480 square meters, then what will be the height of the auditorium?
Answer & explanation
Correct answer: option 3
l = 3x, b = 2x
Now,
⇒ Area of roof = 3x × 2x = 216
6x2 = 216
x = 6
⇒ Area of the four walls:
2h (l+b) = 480
2h (6 × 3 + 2 × 6) = 480
2h = \(\frac{480}{30}\)
2h = 16
h = 8m