Step 1

The picture below shows the trapezoid:

Step 2

Since the value of the area is given as 20in², we can substitute A with 20. Similarly, since the parallel sides are given as 4in and 6in, we can substitute a with 4 and b with 6 as shown below:

Step 3

Now, we have 5h = 20. To find h, we need to remove 5. We can do so by dividing both sides of the equation with 5. This is shown below:  

Step 4

Now, the calculated number 5, has no meaning unless we include the unit for it. Since the area is in inch², h will be in inch. Hence:

h = 8 in

Step 5

Therefore, the answer is C.

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