Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for it. Thanks a lot for your effort.

The area of the shaded part  = 61.46

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following:

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

    => The total area of 2 semi circles is: x = 25

    => The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

It can be seen that:

The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles

= 100 -  25 + 40 = 61.46

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.