The perimeter of a rectangle having area equal to 144 cm2 and sides in the ratio 4 9 is ........

Quantitative Aptitude ( CCS) Mensuration 2D

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The perimeter of a rectangle having area equal to 144 cm² and sides in the ratio 4 : 9 is

52 cm²

56 cm²

60 cm²

64 cm²

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Explanation:

Let, length of rectangle (l) = 4x and breadth of rectangle (b) = 9x
∴ Area of rectangle = l × b
⇒ 144 = 4x × 9x = 36x²
⇒ x² = 4
⇒ x = 2
Now, l = 4x = 4 × 2 = 8 cm and b = 9x = 9 × 2 = 18 cm
∴ Perimeter of rectangle = 2(l + b) = 2 (8 + 18) = 52 cm²