CAT 2020 Geometry & Mensuration — Previous Year Question

In the given question, two quantities are given, one as 'Quantity I' and another as 'Quantity II'. Determine the relationship between the two quantities and choose the appropriate option:

A circle with centre 'O' is circumscribed about an equilateral triangle ABC of side $24\sqrt{3}$ cm.

Quantity I: Find the height of the triangle (in cm). Quantity II: Find the length of a rectangle (in cm) having perimeter 120 cm and breadth equal to the radius of the circle.