Answer:
cm².
Explanation:
Given information: Trapezoid ABCD with bases AB and CD, m∠C=m∠D=60°, AB = BC = 8 cm.
m∠C=m∠D=, two base angles are same. It means ABCD is an isosceles trapezoid.
Draw perpendiculars from A and B on side CD. Both triangles ADE and BCF are congruent.
In a right angled triangle,


In triangle ADE,




The value of DE is 4.




The height of the trapezoid is
. The length of base DC is


The area of a trapezoid is

where, a and b are bases of the trapezoid.



Therefore the area of trapezoid ABCD is
cm².