a circular wire of radius 42 cm is cut and bent into..., Area, General Mathematics

Question:A circular wire of radius 42 cm is cut and bent into the from of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle is :

A `30 cm` 
B `60 cm` 
C `72 cm` 
D `132 cm`

/98

+ AnswerB

+ ExplanationLength of wire = circumference of circle of radius 42 cm

`= (2 xx 22/7 xx 42) cm.`

`= 264 cm`

:. perimeter of rectangle = 264 cm.

Let, length = 6x cm & breadth = 5x cm.

`:. 2 (6x + 5x) = 264 or x = 12.`

:. Smaller side = 60 cm

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