Quantitative Aptitude Ques 1191

Question: A circular wire of radius 35 cm is cut and bent in the form of a rectangle whose sides are in the ratio 6: 5. The smaller side of the rectangle is

Options:

A) 40 cm

B) 60 cm

C) 50 cm

D) 80 cm

Show Answer

Answer:

Correct Answer: C

Solution:

  • Length of wire s Circumference of the circle with radius of 35 m Circumference of the circle $ =2\pi r $ $ =2\times \frac{22}{7}\times 35=220cm $ Let the length of rectangle be $ 6xcm. $ Then, its breadth is $ 5x. $

$ \therefore $ $ 2(6x+5x)=220 $

$ \Rightarrow $ $ 2(11x)=220 $

$ \Rightarrow $ $ 22x=220 $
$ \Rightarrow $ $ x=10 $ Smaller side of rectangle $ =5\times 10=50cm $