Parallelogram Problems

Word problems on parallelogram with detailed solutions are presented.

Formula for Area of Parallelogram

  • Area = b × h , b is the base and h is altitude.

    Problem 1

    Show that the quadrilateral ABCD, where the vertices are defined by their coordinates as follows: A(-2, 0), B(2 , 4), C(4 , 1) and D(0 , -3), is a parallelogram.

    Solution to Problem 1:

    Problem 2

    Given the length (in feet) of side AB and the internal angle D of the parallelogram below, find its height h and the length of side BC given that the area of the parallelogram is equal to 1000 feet 2.
    parallelogram used in problem 2

    Solution to Problem 2:

    Problem 3

    In the parallelogram below, BB' is the angle bisector of angle B and CC' is the angle bisector of angle C. Find the lengths x and y if the length of BC is equal to 10 meters.
    parallelogram used in problem 3

    Solution to Problem 3:

    Problem 4

    The parallelogram shown below has an area of 300 squared feet. Find all its internal angles.
    parallelogram used in problem 4

    Solution to Problem 4:

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