44 units
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Given parallelogram WSTV with sides marked as (x + 5), (x + 9), (2x + 1) and we need to find its perimeter.
Let's find the value of x first, using the property of a parallelogram:
- Opposite sides are parallel and congruent.
This property gives us the following equation:
- x + 5 = 2x + 1
- 2x - x = 5 - 1
- x = 4
Find the length of two adjacent sides:
- WS = x + 5 = 4 + 5 = 9 units
- WV = x + 9 = 4 + 9 = 13 units
Find the perimeter, double the sum of two adjacent sides:
- P = 2(9 + 13) = 2(22) = 44 units