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An equilateral triangle, a square and a circle have equal perimeter. If T denotes the area ofthe triangle, S the area of the square and C the area of
Question

An equilateral triangle, a square and a circle have equal perimeter. If T denotes the area ofthe triangle, S the area of the square and C the area of the circle, then ,

A.

S < T< C 

B.

T< C < S

C.

T < S < C

D.

C < S < T

Correct option is C

We have three shapes—an equilateral triangle, a square, and a circle—all with the same perimeter length. We need to compare their areas:

- T = Area of the triangle
- S = Area of the square
- C = Area of the circle

For a fixed perimeter, the circle covers the most area, the square comes next, and the triangle covers the least.

The circle is the most efficient shape—it gives the largest possible area for a given perimeter. The square is less efficient than the circle but more efficient than the triangle.

The areas follow this order:
T (triangle) < S (square) < C (circle)

Correct Answer:
Option :C (T < S < C) is correct.

This makes sense because, for the same perimeter, a circle always has the largest area, followed by a square, and then a triangle.

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