Given the figure below, calculate its perimeter.

24.58

Step-by-step explanation:

In the big triangle, you see two little triangle

one of the little triangle is a 45-45-90 triangle (the number represent the angle measures of the triangle)

this means that the legs are the triangle can be considered one, and the hypotenuse can be considered

so in any 45-45-90 triangle, if you have a leg that is 4, then you know the other leg is also 4, and the hypotenuse would be 4 times (aka 5.65)

the other triangle is a 30-60-90 triangle (the number represent the angle measures of the triangle)

this means that the smallest leg of the triangle can be considered one, and the other leg (the bigger one) can be considered 2, and the hypotenuse can be considered

so the smallest leg here is 4, this means that the other leg would be 2 times 4 (aka 8)

and the hypotenuse would be 4 times (aka 6.93)

so the sides that count to the perimeter of the given triangle would be 4, 5.65, 8, and 6.93

add those up and you get: 24.58