Lilabean
Lilabean Lilabean
  • 16-05-2018
  • Mathematics
contestada

How do you find the area of a regular Pentagon with an apothem of 5 and each of its sides are 10ft long?

Respuesta :

mkryukova19 mkryukova19
  • 16-05-2018
Regular pentagon can be divided into 5 congruent triangles.
The area of a triangle =1/2*(base*height)
In our case base pf the triangle is the side of the pentagon, and the height of the triangle is an apotheme of the pentagon.
So, A(triangle)=(1/2)*10*5 =25 ft².
We have 5 triangles in pentagon,
so A(pentagon) =5*25=125 ft².

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