Math Expression: Area of a Trapezoid Practice Question

Given a trapezoid with the area of 20in². Find the height of the trapezoid given that its parallel sides are 4in and 6in.

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

h = 4in
Step 5

Therefore, the answer is C.