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A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

Here's the solution :

  • Side of the equilateral triangle = x

  • Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

  • [tex]4(x + 10) = 3 \times 3x[/tex]

  • [tex]4x + 40 = 9x[/tex]

  • [tex]9x - 4x = 40[/tex]

  • [tex]5x = 40[/tex]

  • [tex]x = 8[/tex]

therefore, side of triangle = 8 cm

  • perimeter (triangle) = 8 × 3 = 24 cm

  • side of square = 8 + 10 = 18 cm

  • perimeter of square= 18 × 4 = 72 xm
shahrearabedin

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

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