Answer:
Area of trapezoid = 32√3
Explanation:
Using Pythagoras theorem
8² = (4√3)² + x²
64 = 48 + x²
x² = 64 - 48
x² = 16
x = √16
x = 4
Area of trapezoid = ½(a + b) h
Where a = 10 - 4 = 6
b = 10
h = 4√3
Area of trapezoid = ½(6 + 10) × 4√3
= ½ × 16 × 4√3
= 8 × 4√3
= 32√3