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iren [92.7K]
3 years ago
11

Find the area of a pentagon with an apothem of 7.3 and a side length of

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

9514 1404 393

Answer:

  193.5 square units

Step-by-step explanation:

The area formula for this situation is ...

  A = 1/2Pa

where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...

  A = (1/2)(5×10.6)(7.3) = 193.45

To the nearest tenth, the area is 193.5 square units.

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