Question

What is the area of this regular pentagon that has been divided into five congruent triangles?

48
`cm^(2)`

120
`cm^(2)`

100
`cm^(2)`

24
`cm^(2)`

Answer 1

120 cm^2.

Explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.