Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.

Respuesta :

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.