The parallelogram ABCD is shown below.
Its area is equal to 63 cm².
Calculate side AE.
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The parallelogram ABCD is shown below.
Its area is equal to 63 cm².
Calculate side AE.
To assess whether side can be calculated, we generally consider using the formula for the area of a parallelogram, . However, this requires knowing or specifying both the base and height, which are not provided in this problem. Without explicit dimensions or angles that specify directly, it is not possible to isolate and calculate merely from the area alone.
Given the lack of adequate information about base lengths, height, or angles essential for such calculations, particularly when specific side lengths or geometric properties are needed, we conclude that it is not possible to calculate the length of side .
Therefore, the appropriate conclusion is that it is not possible to calculate side with the information provided.
It is not possible to calculate.
Calculate the area of the parallelogram according to the data in the diagram.
The area formula is . With only the area (63 cm²), you have one equation but two unknowns. You need at least one more measurement to solve for specific sides.
You'd need either:
From the diagram, we can see that AD = 7, but AE appears to be the height (perpendicular line). Without knowing the base length or angles, we cannot determine AE's exact value.
Count your knowns vs unknowns. If you have more unknown values than independent equations/relationships, the problem cannot be solved. Always identify what you need before attempting calculations.
It means there isn't enough information given to find a unique answer. This is a valid mathematical conclusion - recognizing insufficient data is just as important as solving when you can!
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