The area of a rectangle is equal to the area of a square whose diagonal is 12 radic 6 metre The diff...........

Quantitative Aptitude ( CCS) Mensuration 2D

The area of a rectangle is equal to the area of a square whose diagonal is 12√6 metre. The difference between the length and the breadth of the rectangle is 6 metre. What is the perimeter of rectangle ? (in metre).

160 metre

80 metre

82 metre

84 metre

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Explanation:

Answer & Explanation
Answer – 84 metre
Explanation :
d = a√2
12√6 = a√2
a = 12√3
l * b = a² = (12√3)² = 432
l – b = 6 ; l = b + 6
(b + 6)*(b) = 432
b² + 6b – 432 = 0
b = 18; l = 24
2(l + b) = 2(24 + 18) = 84m