Answer:
88+22 [tex]\sqrt{2}[/tex].
Step-by-step explanation:
Since AFEC is a square, all its sides are equal. Therefore EC=AC=AB=22. Since triangle BAC is an isoceles right triangle, its side angles must be 45 degreses each. The hypotenuse of a 45-45-90 triangle is s[tex]\sqrt{2}[/tex] where s is the side length. In this case s is 22 and the hypotenuse is 22 [tex]\sqrt{2}[/tex].
Since the total shape has 4 sides all with side lengths of 22 we can find the total perimeter.
Adding all of this together: 4(22)+22 [tex]\sqrt{2}[/tex].
88+22 [tex]\sqrt{2}[/tex].
