Respuesta :

Answer:

The perimeter is equal to 240.

Step-by-step explanation:

Since  the shape is a regular polygon, the sides are equal to each other, so those two equations are equal to each other.

So, to solve for x, then to find perimeter, we need to set the equations equal to each other.

5x + 10 = 7x + 4

Subtract 5x  and -4 from both sides.

6 = 2x

Divide each side by 2.

3 = x

Now, we plug it into one of the equations and multiply by 6 (6 sides in the regular polygon).

5( 6 + 2 )

40

40 * 6 = 240

The perimeter is equal to 240.

Perimeter of the regular polygon is 150 unit

Given:

Equal first side of regular polygon = 7x + 4

Equal second side of regular polygon = 5(x + 2)

Find:

Perimeter of the regular polygon

Computation:

We know that side of regular polygon are equal

7x + 4 = 5(x + 2)

7x + 4 = 5x + 10

7x - 5x = 10 - 4

2x = 6

x = 3

So,

Side of regular polygon = 7x + 4

Side of regular polygon = 7(3) + 4

Side of regular polygon = 25 unit

We know that given polygon is hexagon

Perimeter of hexagon = 6(a)

Perimeter of hexagon = 6(25)

Perimeter of hexagon = 150 unit

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