There are 2 rectangular tanks A and B with lengths 12m and 15m in a square field If the total area o...........

Quantitative Aptitude ( CCS) Mensuration 2D

There are 2 rectangular tanks A and B with lengths 12m and 15m in a square field. If the total area of the square field excluding the rectangular tanks is 360sq m and the breadth of both the rectangular tanks is 1/3 of the side of the square field, find the perimeter of the square field?

100m

75m

82m

96m

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Explanation:

Answer – 96m
Explanation :
Area A = 12*a/3 = 4a
Area B = 15*a/3 = 5a
a²- 9a - 360 = 0
(a-24)(a+15) = 0
A = 24
Perimeter of the square = 4a = 4*24 = 96m