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

The perimeter of the garden shown is (6x + 2) units. Find the length of the missing-example-1

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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.
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