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One side of a parallelogram is 14 cm. It...

One side of a parallelogram is 14 cm. Its distance from the opposite side is 16.5 cm. Find the area of the parallelogram

A

`331cm^(2)`

B

`223cm^(2)`

C

`231cm^(2)`

D

`241cm^(2)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the area of the parallelogram, we can use the formula: **Area = Base × Height** Where: - Base is one side of the parallelogram. - Height is the perpendicular distance from the base to the opposite side. ### Step-by-Step Solution: 1. **Identify the Base and Height:** - Given that one side of the parallelogram (the base) is 14 cm. - The distance from the opposite side (the height) is 16.5 cm. 2. **Substitute the Values into the Area Formula:** - Area = Base × Height - Area = 14 cm × 16.5 cm 3. **Calculate the Area:** - Area = 14 × 16.5 - Area = 231 cm² Thus, the area of the parallelogram is **231 cm²**.
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