Find the area of the shape shown below.

42

Step-by-step explanation:

The area of a trapezoid is the (height) * (avg. of bases) =

12 * ((1+6)/2) =

12 * 7/2 =

42

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.