Question

a square and a regular hexagon have sides of the same length. the perimeter of the square increased by 32 units will be equal to the perimeter of the hexagon. what is x, the length of a side of the hexagon or square?

Answer 1

16 units, is the length of a side of the hexagon or square

The perimeter of the square = the Sum of the lengths of 4 sides. = side + side + side + side. = 4 × side.

Therefore, the perimeter of Square = 4s

Consider x to be the perimeter of the square=4x

The perimeter of a regular hexagon is just the sum of all 6 sides. Because in a regular hexagon, the perimeter is just six times one side (6 cm) or 36 cm.

Consider x to be the perimeter of the square=6x

Now, to find the length:

4x + 32 = 6x

6x-4x=32

2x=32

X=16

So, the length of the side = 16 units.

To learn more about the perimeter of a square:

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