Respuesta :

The length of each side of the triangles given.
The perimeter is the sum of the lengths.

The square has 4 congruent sides, so the perimeter of the 
square is 4(x + 6).

Set the two perimeters equal, and solve for x.

x + 6 + 3x + 3 + 5x = 4(x + 6)

9x + 9 = 4x + 24

5x = 15

x = 3

The value of x that makes the perimeter of the figure below equal is 3

The perimeter of the triangle = x + 6 + 5x + 3x + 3

The perimeter of the triangle  = 9x + 9

The perimeter of the square = 4L = 4(x+6)

The perimeter of the square = 4x + 24

Since their perimeter is equal, hence;

9x + 9 = 4x + 24

9x - 4x = 24 - 9

5x = 15

x = 3

Hence the value of x that makes the perimeter of the figure below equal is 3

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