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, we will use the formula:
From the problem, we identify the base as and the height as . Substituting these values into the formula, we get:
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.
Because area requires the perpendicular height, not just any side! The slanted sides are longer than the actual height. Think of it like measuring how tall a leaning tower really is - you measure straight up, not along the slant.
Look for the perpendicular line in the diagram! Height is always the shortest distance between the parallel sides, shown as a line with a right angle symbol (like the 4cm line in this problem).
The formula stays the same: . No matter how tilted the parallelogram is, you always need the perpendicular height, not the slanted sides.
Because area measures square units! You're finding how many 1cm × 1cm squares fit inside the parallelogram. That's why we write - it shows you're measuring area, not length.
Yes! You can use any side as the base, but then you must use the height perpendicular to that base. The area will always be the same no matter which base you choose.
Check your work! 14 comes from adding 7 + 4 + 3 (perimeter mistake), and 56 comes from 7 × 4 × 2 (doubling the area). Remember: Area = base × height, nothing more!
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