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What is the missing side length of the shape if the perimeter P = (14x + 10) cm?

What is the missing side length of the shape if the perimeter P = (14x + 10) cm?

Answer

To find the missing side length, we need to add all the given side lengths and set them equal to the perimeter:

  1. The given side lengths are: x - 1, 3x, 4x + 5, 2x - 3, 2x + 6, and the missing side (?).
  2. Sum of the given side lengths: (x - 1) + 3x + (4x + 5) + (2x - 3) + (2x + 6) + ? = 14x + 10.
  3. Simplify the expression: x - 1 + 3x + 4x + 5 + 2x - 3 + 2x + 6 = 14x + 10.
  4. Combine like terms: 12x + 7 + ? = 14x + 10.
  5. To find the missing side, solve for ?: ? = (14x + 10) - (12x + 7).
  6. ? = 2x + 3.

The missing side length is 2x + 3 cm.

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