What is the area of the quadrilateral and what is the perimeter

Area of Trapezoid = (b1 + b2)h

                                         2

Area = (9 in + 17 in) (3 in = 1/4 ft)

                      2

A = (26 in)(3 in)/2

A = 78 in2/2

A = 39 in2

Perimeter = bi + b2 + 2l

             P = 9in + 17 in + 2(5 in)

             P = 26 in + 10 in

             P = 36 inches

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.