tiffanyjaymz12
tiffanyjaymz12 tiffanyjaymz12
  • 25-06-2020
  • Mathematics
contestada

Find the area of the regular
pentagon.
5.5 cm
8 cm

Find the area of the regular pentagon 55 cm 8 cm class=

Respuesta :

caitsrose13 caitsrose13
  • 25-06-2020

Answer:

Area = 110 cm²

Step-by-step explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110

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