Answer:
The perimeter of one of the trapezoids is equal to
Step-by-step explanation:
we know that
The perimeter of a square is
where
b is the length side of the square
step 1
Find the length side of the smaller square
step 2
Find the length side of the large square
step 3
Find the height of one trapezoid
The height is equal to
step 4
Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.
Find the hypotenuse of one isosceles right triangle
Applying Pythagoras Theorem
step 5
Find the perimeter of one of the trapezoid
The perimeter is equal to