Find the area of a trapezoid

Area of trapezoid = 32√3

Step-by-step 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