Look at the parallelogram in the figure below.
If its area is 75 cm², then what is its perimeter?
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Look at the parallelogram in the figure below.
If its area is 75 cm², then what is its perimeter?
To solve this problem, we aim to find the perimeter given only the area and a side of the parallelogram. The key formula for a parallelogram’s area is . The perimeter of the parallelogram is calculated as .
However, the problem only provides the area and one side length and lacks information about the height or the other side. This shortage of detail restricts us from precisely determining other necessary values, like the base and the height, critical for calculating the perimeter.
Without assuming or being provided additional information, such as the height of the parallelogram or the lengths of both pairs of opposite sides, the problem lacks sufficient detail for solving explicitly. Consequently, it is impossible to calculate the perimeter from the given information alone.
Therefore, the correct conclusion is that the perimeter calculation cannot proceed with the available data.
It is not possible to calculate.
It is not possible to calculate.
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 is the perpendicular distance between parallel sides, not the actual side length! The slanted sides are longer than the height. You need the actual side measurements for perimeter.
Yes! Using , we get , so Base = 15 cm. But we still need the adjacent side length for perimeter.
You'd need both pairs of opposite sides or one complete side and the angle. The diagram shows side BC = 15, but we don't know the length of the slanted sides AB or CD.
Yes! If this were a rectangle (where height equals side length) or if we had the angle information, we could calculate the missing side. But with a general parallelogram, we need more data.
Count your unknowns! For perimeter, you need all side lengths. If you can't determine them from the given information, the problem lacks sufficient data. Always check what's given versus what's needed.
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