The diagram is attached below
The midpoint of AC is E. The ΔMAE is congruent to ΔBCE, and the sides MA = BC = 5 cm. Also MD = 17 -5 = 12 cm
From the figure we can see that the height of the trapezoid is 8cm
The height of trapezoid is the difference between the x axis and the BC that is 8cm
The triangle BDM has base 12 cm and height 8 cm.
Area of triangle = [tex] \frac{1}{2} * base * height [/tex]
A = [tex] \frac{1}{2} * 12 * 8 [/tex] = 48 cm²
2. The area of trapezoid ABCD formula is
A = [tex] \frac{base_1 + base_2}{2}* height [/tex]
base 1= 17cm , base2= 5cm , height = 8cm
A = [tex] \frac{17 + 5}{2}* 8 [/tex]
A = 88 cm²
