The simplified expression that represents the perimeter of an irregular quadrilateral is (233t-1).
According to the question,
We have the following information:
The side lengths of the irregular quadrilateral are (214t−5), (4t+3), (12t−1), and (3t+2).
Now, we already know that the perimeter of any figure is the sum of all sides of the figure.
In this case, the sides are given. So, we can easily find the perimeter of the quadrilateral.
Perimeter of quadrilateral = (214t−5) + (4t+3) + (12t−1) + (3t+2)
We know that the terms with the same variables can be added.
Perimeter of quadrilateral = 233t-5+3-1+2
Perimeter of quadrilateral = 233t-6+5
Perimeter of quadrilateral = 233t-1
Hence, the simplified expression that represents the perimeter of an irregular quadrilateral is (233t-1).
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