Need help
Side of square = \sqrt{652} \text{ or }25
Area of rhombus = base \times height
Now, square and rhombus share the same side CD = 25 from earlier
Thus, 500 = 25 \times height or height of rhombus = 20
Now, draw a perpendicular from D to side EF(Let call this O) and find the area of triangle DOF
Also, we know that in rhombus all side are equal or equal to 25 and height = 20, Therefore in triangle DOF by Pythagoras theorem: 25^2 = 20^2 + \text{OF} or OF =15, thus area of DOF will be \frac{1}{2}\times15\times20 =150
Area of Shaded region = Area of Square -(area of rhombus - area of triangle DOF)
Area of Shaded region = 625 -(500 -150) or 275
