Given the parallelogram of the figure
What is your area?
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Given the parallelogram of the figure
What is your area?
To find the area of the parallelogram, follow these steps:
Therefore, the area of the parallelogram is .
A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.
Calculate the area of the parallelogram.
Height is the perpendicular distance between parallel sides, while side length is the actual length of a slanted side. In this problem, the height is 3 units (shown perpendicular), not the slanted side marked as 8.
The area formula specifically requires the perpendicular height. Using the slanted side would give you a larger, incorrect area because it's longer than the actual height.
The base can be any side (here it's 8), and the height is always the perpendicular line from that base to the opposite side (here it's 3, shown with the right angle symbol).
Area is always measured in square units. Since we multiplied length × length, our answer of 24 should be expressed as 24 square units (or units²).
Yes! You can use any side as the base, but you must use the corresponding perpendicular height to that base. The area will always be the same regardless of which base you choose.
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