Area of a Trapezoid Practice

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Question 2

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


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Select and check your answer...

A. 3 in
B. 3 in2
C. 4 in
D. 4 in2

Step by Step Solution

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    Step 1

    The picture below shows the trapezoid:

    a trapezoid with the height h and parallel sides of 4in and 6in
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    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:

    calculating the height of a trapezoid
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    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:

    solving the equation for h
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    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
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    Step 5

    Therefore, the answer is C.