Look at the parallelogram in the figure below.
Its area is equal to 40 cm².
Calculate AE.
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Look at the parallelogram in the figure below.
Its area is equal to 40 cm².
Calculate AE.
We are told that ABCD is a parallelogram,According to the properties of a parallelogram, each pair of opposite sides are equal and parallel.
Hence to find AE we will need to use the area given to us in the formula in order to determine the area of the parallelogram:
We divide both sides of the equation by 8:
cm
A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.
Calculate the area of the parallelogram.
The height must be perpendicular to the base! Side BC is slanted (parallel to AD), but height AE drops straight down at a 90° angle to the base AB.
The problem shows AB = 8 units as the horizontal side, making it our base. The height AE is the perpendicular distance from this base to the opposite side.
That's perfectly normal! Many geometry problems have decimal heights. Just make sure your calculation is correct: .
Yes! You could use any side as the base, but then you'd need the perpendicular height to that side. The area formula always works.
Think of it like a rectangle! A parallelogram's area is base × height, just like length × width for rectangles. The key is using the perpendicular height, not the slanted side.
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