We can calculate the area of the trapezoid by using the formula below:
[tex]\text{Area of trapezoid=}\frac{b_1+b_2}{2}\text{.h}[/tex]where b1 and b2 are the base and h is the height
From the question, b1=5 1/6 = 31/6
b2= 3 1/3 = 10/3
h=8
substitute the values into the formula and evaluate
[tex]\text{Area of trapezoid=}\frac{\frac{31}{6}+\frac{10}{3}}{2}.8[/tex][tex]=\frac{\frac{31+20}{6}}{2}\times8[/tex][tex]=\frac{\frac{51}{6}}{2}\times8[/tex][tex]=\frac{51}{6}\times4[/tex][tex]=\frac{51}{3}\times2[/tex][tex]=17\times2[/tex][tex]=34yd^2[/tex]