Notice that we can draw a right triangle inside the figure like this:
to find the perimeter, we must first find the hypotenuse of the triangle that we got. Then, using the pythagorean theorem, we have:
![x=\sqrt[]{(5)^2+(12)^2}=\sqrt[]{25+144}=\sqrt[]{169}=13](https://img.qammunity.org/2023/formulas/mathematics/college/ukr6inuovq47sjnaene5pc4x4ts1roce9v.png)
we have that the length of the missing side is 13 yd. then, the perimeter of the figure is:

therefore, the perimeter is 50 yards