Answer:
cm².
Step-by-step 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.