Area of a Parallelogram Practice

Question Icon

Question 2

Given a parallelogram with the area of 30in2. Find the height of the parallelogram given that its base is 6cm.


Answer Icon

Select and check your answer...

A. 5 in2
B. 5 in
C. 7 in2
D. 7 in

Step by Step Solution

  • Lesson Icon

    Step 1

    The picture below shows the parallelogram with the base of 6cm and the height of h.

    a parallelogram with the base 6cm and the height h
  • Lesson Icon

    Step 2

    Since the value of the area is given as 30in2, we can substitute A with 30. Similarly, since the base is given as 6cm, we can substitute b with 6 as shown below:

    substituting A with 30 and b with 6
  • Lesson Icon

    Step 3

    Now, we have 6h = 30. To find h, we need to remove 6. We can do so by dividing both sides of the equation with 6. This is shown below:

    calculating the height of a parallelogram
  • Lesson Icon

    Step 4

    Now, the calculated number 5, has no meaning until we include the unit for it. Since the area is in inch2, 6 will be in inch. Hence:

    h = 5 in
  • Lesson Icon

    Step 5

    Therefore, the answer is B.