Answer:
42 square units
Step-by-step explanation:
Hello There!
The area of a trapezoid can be found using this formula
[tex]a = \frac{a + b}{2} h[/tex]
where a and b are bases and h is height
if you look at the graph we can see that the lines are counting by 2 units
knowing this we want to find the dimensions
the shown trapezoid has the following dimensions
a =2*2 or 4
b=5*2 or 10
h=3*2 or 6
having found this information we then plug it into the formula
[tex]a = \frac{4+ 10}{2} 6 \\ 4 + 10 = 14 \\ \frac{14}{2} = 7 \\ 7 \times 6 = 42[/tex]
so we can conclude that the area of the trapezoid is 42 square units