The following figure is made of six semicircles with the same diameter, and of four congruent equilateral triangles represented by aeg, egf, bef, and gfc. if ae = 3cm, then the area of this figure is, in cm2, equal to: a) b) c) d) "c." why is it letter "c"? no matter what i try, i cannot obtain this result. does anyone know the correct procedure for this?

6 semicircles = 3 circles

The formula of the area of a equilateral triangle:

We have a = |AE| = 3cm. Substitute:

The formula of the area of a circle:

We have 2r = |AE| =3cm → r = 1.5cm. Substitute:

The area of the figure:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

t= 1/3.

hope this .

step-by-step explanation: