Answer:
26.39
Explanation:
In order to find perimeter, you must first find all four side lengths. You can do this using the pythagorean theorem, the equation to find a missing side length of a right triangle.
First, find the legs of a triangle with its hypotenuse as one of the quadrilateral's side lengths. Let's use line YR as an example. The difference between the two points' x values is 3, and the difference between their y values is 4. This indicates that the side lengths of this triangle are 3 and 4. Use the pythagorean theorem:
a^2 + b^2 = c^2 (with a and b as the legs of the triangle and c as the hypotenuse)
...and solve for c. You get 5.
The other three side lengths are 3, the square root of 73, and the square root of 97. Add them all together, and you get 26.39285... rounded to the nearest hundredth is 26.39