Question

The three sides of a triangle have lengths of x units,

(x-4) units, and (x² - 2x - 5) units for some value of x greater than 4. What is the perimeter, in units, of the triangle? ​

Answer 1

• The perimeter is x² - 9 units

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The perimeter is the sum of three side lengths:

• P = x + (x - 4) + (x² - 2x - 5)
• P = x + x - 4 + x² - 2x - 5
• P = x² - 9