The length of a rectangle is three fifth of the radius of a circle The radius of the circle is equal...........

Quantitative Aptitude (MTS) Mensuration 2D

The length of a rectangle is three-fifth of the radius of a circle. The radius of the circle is equal to the side of a square, whose

area is 6400 m² . The perimeter (in m) of the rectangle, if the breadth is 15 m, is:

This questions was previously asked in

SSC MTS 14th October 2021 Shift-1

120

126

160

180

- First, calculate the side of the square:

- Area of the square is 6400 m².

- Side of square = v6400 = 80 m.

- The radius of the circle is equal to the side of the square:

- Radius of circle = 80 m.

- Calculate the length of the rectangle:

- Length of rectangle = (3/5) × radius = (3/5) × 80 = 48 m.

- Breadth of the rectangle is given as 15 m.

- Now, calculate the perimeter of the rectangle:

- Perimeter = 2 × (Length + Breadth) = 2 × (48 + 15) = 2 × 63 = 126 m.

- So, the perimeter of the rectangle is 126 m.

- Options provided:

- Option 1: 120

- Option 2: 126

- Option 3: 160

- Option 4: 180

- Correct Answer: Option 2, 126 m

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