Question

the perimeter of a square and a regular hexagon are equal. find the ratio of the hexagon to the area of the square​

Answer 1

Step-by-step explanation:

The perimeters of a square and a regular hexagon are equal. The ratio of the area of the

hexagon to the area of the square is

A) 23–√ : 3

B) 3–√ : 1

C) 33–√ : 2

D) 2–√ : 3

Correct Answer:

A) 23–√ : 3

Description for Correct answer:

Side of the square = x units and side of regular hexagon = y units.

∴ 4x = 6y => x = 32 y

Area of square = 94y2

Area of hexagon = 33–√2y2

∴ Required ratio

= 33–√2×y2 : 94y2 = 2 3–√ : 3