Antoine is making a banner in the shape of a triangle . He wants to add a decorative border around the edges. How long will the border have to be if one side is 9b+8 , another side is 12b-8 , and the final side is also 12b-8? Create and simplify an expression.

Respuesta :

The border will have to be 33b - 8

Step-by-step explanation:

Antoine is making a banner in the shape of a triangle

  • He wants to add a decorative border around the edges
  • The length of the three sides of the triangle are 9b + 8, 12b - 8 and 12b - 8

We need to find the length of the border

The length of the border is the sum of the lengths of the three sides of the triangle

∵ The length of one side = 9b + 8

∵ The length of another side = 12b - 8

∵ The length of the final side = 12b - 8

- Add the lengths of the 3 sides to find the length of the border

∴ The length of the border = 9b + 8 + 12b - 8 + 12b - 8

- Add like terms

∴ The length of the border = (9b + 12b + 12b) + (8 - 8 - 8)

∴ The length of the border = 33b - 8

The border will have to be 33b - 8

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