Question

The perimeter of the garden shown is (6x + 2) units. Find the length of the missing side.

Answer 1

The perimeter of a certain polygon is the sum of the measures of all its sides. If we are to use this concept with the given polygon above then that would be,

   P = (3x + 1) + x + x + ?

We are also given that the perimeter is equal to 6x + 2. We substitute this to the equation derived,

   6x + 2 = (3x + 1) + x + x + ?

Simplifying,

    6x + 2 = 5x + 1 + ?

  ? = x + 1

Answer: The last side is equal to x + 1.