A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the...........

Quantitative Aptitude ( CCS) Mensuration 2D

A circular wire of diameter 112 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 9 : 7. The smaller side of the rectangle is

77 cm

97 cm

67 cm

87 cm

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Explanation:

Circumference of circular shape = π × diameter
= 22/7 × 112 = 352 cm
Length of wire = 352 cm
∴ Perimeter of rectangle = 2(length + breadth) ⇒ 2(l + b) = 352
⇒ (l + b) = 352/2 = 176
Given ratio of sides = 9 : 7. So,
Smallest side = 7/16 × 176 = 77 cm.