The perimeter of a rectangle of length 62 cm and breadth 50 cm is four times perimeter of a square W...........

Quantitative Aptitude ( CCS) Mensuration 2D

The perimeter of a rectangle of length 62 cm and breadth 50 cm is four times perimeter of a square. What will be the circumference of a semicircle whose diameter is equal to the side of the given square?

36 cm

25 cm

29 cm

17 cm

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Explanation:

Let the side of the square be a cm.
Parameter of the rectangle = 2(62 + 50) = 224 cm Parameter of the square = 56 cm
i.e. 4a = 56
So a = 14
Diameter, d of the semicircle = 14 cm
Circumference of the semicircle = 1/2(π)(r) + d
= 1/2(22/7)(7) + 14 = 25 cm