Respuesta :

snog

Answer:

x = 1

Step-by-step explanation:

The perimeter of the square is 4(2x + 3) = 8x + 12 and the perimeter of the triangle is 3x + 2(x + 3) + 5x + 4 = 10x + 10. Since they are equal, we can write:

8x + 12 = 10x + 10

-2x = -2

x = 1

Answer:

x =1

Step-by-step explanation:

Perimeter of a square = 4(a)

Where a = side=2x+3

[tex]P = 4(a)\\P= 4(2x+3)\\Perimeter \: = 8x +12[/tex]

Perimeter of a triangle =

[tex]a +b +c[/tex]

[tex]3x + 2(x+3) +5x+4\\3x +2x +6 +5x+4\\Simplify\\: \\3x+2x+5x = 10x\\6+4 =10\\\\= 10x+10[/tex]

[tex]8x +12 = 10x+10\\Collect like terms\\8x -10x = 10-12\\-2x =-2\\Divide\:both\:sides\:of\:the\:equation\:by \:-2\\\frac{-2x}{-2} = \frac{-2}{-2} \\\\x = 1[/tex]

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