Question

The area of the east wall of an auditorium is 108 sq m, the area of the
north wall is 135 sq m and the area of the floor is 180 sq m. Find the
height of the auditorium
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Answer 1

Step-by-step explanation:

Given h * l = 108 ---(1)

h * b = 135 ----(2)

Also l * b = 180

Here l is length and b the breadth of the floor

Multiplying (1) and (2) we have

h^2 * l b = 108 * 135

Or h^2 * 180 = 108 * 135

So h^2 = 108 * 135/180 = 9 * 12 * 9 * 15 / 9 * 20 = 9 * 9

So height of the auditorium = 9 m