A parallelogram is a four-sided figure with opposite sides that are parallel. The height of a parallelogram is a line segment that goes from the base to the opposite side at a right angle. Imagine cutting a parallelogram along its height to form two separate figures. If one figure is moved to the opposite side of the other figure, the result is a rectangle with height equal to the height of the parallelogram and base equal to the base of the parallelogram. Since the area of a rectangle is A = b × h, the area of a parallelogram is A = b × h. Be careful not to confuse the height and side of a parallelogram. The height is a line segment perpendicular to the base.

Area of Parallelograms using the Brainingcamp Geoboard virtual manipulative.

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