Area of ParallelogramsIn this lesson, we learn
Formula for the area of a ParallelogramTo get the area of a parallelogram, we first draw a perpendicular line segment from one corner of the parallelogram to the opposite side. This is the height ( h) of the parallelogram. The area of a parallelogram is equal to the product of its length and height. (Remember to always use the perpendicular height)
How to derive the formula for the area of a parallelogramYou may notice that lh is also the area of a rectangle with dimensions l and h. The diagram below will explain why. If we cut out the triangle ABC and add it to the other side (triangle DEF), you will have a rectangle with dimensions l and h that has the same area as the original parallelogram.
The following vdeo explains how the formula for the area of a parallelogram is obtained.
How to use the formula to calculate the area of a ParallelogramWorksheet to calculate the area of parallelograms Worksheet to calculate the area of triangles and parallelograms. Worksheet to solve parallelogram problems involving base, length, height, perimeter and area.
The following videos show how to find the area of a parallelogram
Word problems using the area of parallelogramsIn this video, we use the area of a parallelogram to find its height.
In this video, we use the area of a parallelogram to find the length of its base
Given the base of the parallelogram is three times its height and that the area is 27 square cm. What is the height?
Given that the height of the parallelogram is twice its base and that the area is 32 square m. What is the base's length?
Given the area of a parallelogram and that its height is three times its base, find the base and height.
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