Question

The perimeter of a square and a regular hexagon are equal. Find the ratio of the area of the hexagon to the area of the square.....

plz don't swap explain me step by step... then i will truely mark as a brainlist to that person who gives answer correctly..​

Answer 1

Answer:

Let the side of square be x

and side of hexagon be y

Then,

Perimeter of square=perimeter of

hexagon

=4x=6y

=x=6y/4

=x=3y/2

Now,

area of hexagon/area of square

=[3(√3)y²/2]/x²

=[3(√3)y²/2]/(3y/2)²

=[3(√3)y²/2]/(9y²/4)

=[3(√3)y²×4]/2×9y²

=2/√3

=2:√3

The ratio of the area of the hexagon to the area of the square is 2:√3

Step-by-step explanation:

Perimeter of hexagon=6×a

Area of hexagon=3√3×a²/2

Perimeter of square=4×a

Area of square =a²

where a =side

Answer 2

Answer:

1:1 is the correct answer .