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Calculating the Area of a Parallelogram – How to calculate easily?

For calculating area of a parallelogram easily, convert the diagram of parallelogram into a rectangle by extending or sketching different lines. Then use rectangle area formula and triangle area formula to calculate the area of the parallelogram.

ExampleCalculating the area of a parallelogram

What is the area of parallelogram ABCD?

Solution:

See the math diagram in question. If you extend line AD and drop a perpendicular from point C, then it will become a perfect rectangle.

Now draw lines CE and DE to form rectangle ABCE.

calculating the area of a parallelogram

Use rectangle area formula to calculate the area of rectangle ABCE

Area of rectangle ABCE = (width) (height)
Area of rectangle ABCE = 10 x 5
Area of rectangle ABCE = 50

Use triangle area formula to calculate the area of triangle CDE

Area of triangle CDE = ½ (height) (base)
Area of triangle CDE = ½ (5) (10 – 6)
Area of triangle CDE = ½ (5) (4)
Area of triangle CDE = 10

Now for calculating the area of parallelogram, subtract the area of rectangle from the area of triangle

Area of parallelogram ABCD = area of rectangle – area of triangle
Area of parallelogram ABCD = 50 – 10
Area of parallelogram ABCD = 40

Area of triangle CDE = ½ (5) (4)

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