It is required to construct a big rectangular hall to accommodate 500 persons, allowing 22.5 m space per person. The height of the hall is to be kept at 7.5 m, while the total inner surface area of the walls must be 1200 m². Then the length and breadth of the hall respectively are :
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Given : a big rectangular hall to accommodate 500 persons, allowing 22.5 m³ space per person
height = 7.5 m
total inner surface area of the walls must be 1200 m².
To Find : length and breadth of the hall
Solution:
length = L
Breadth = B
Height = 7.5 m
Volume = 7.5LB
Volume = 500 * 22.5
Equate both
=> 7.5LB = 500 * 22.5
=> LB = 1500
total inner surface area of the walls must be 1200 m².
=> 2( L + B) 7.5 = 1200
=> L + B = 80
L + B = 80
LB = 1500
L and B are 50 and 30
length and breadth of the hall are 50 and 30 m
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