How would I answer this shaded regions with algebra question?

x = 0.5

Step-by-step explanation:

Area of a circle = πD²/4

Area of an arc section = (½θ)R²

θ = 45° = π/4 radians

as the two shaded areas are reported as equal

            π(4 - 4x)²/4 = ½(π/4)(10x - 2)² - ½(π/4)(6x - 2)²

                 (4 - 4x)² = ½(10x - 2)² - ½(6x - 2)²

      16 - 32x + 16x² = ½[(100x² - 40x + 4) - (36x² - 24x + 4)]

      16 - 32x + 16x² = ½(64x² - 16x)

      16 - 32x + 16x² = 32x² - 8x

      16 - 24x - 16x² = 0

quadratic formula

x = (24 ±√(24² - 4(-16)(16))) / (2(-16))

x = (24 ± 40)/-32

x = -2

which we ignore as it would make the radii on our arc section negative.

or

x = 0.5

The shaded area represents π units² in area

Please select as brainliest if it fits

0.5

Step-by-step explanation:

Just do maths