Question

In the regular octagon below, if AP = 10 cm. and BC = 15 cm, find it's area.

Answer 1

Given:

There is a regular octagon given as below

Required:

We want to find the area of given regular octagon if AP = 10 cm. and BC = 15 cm

Step-by-step explanation:

As we can see in the figure that there 8 triangles which are exactly same

so if we find area of 1 triangle and multiply with 8 we get the area of whole regular octagon

The area of 1 triangle is

`a=(1)/(2)*10*15=75\text{ cm}^2`

now to find area of regular octagon

`A=8a=75*8=600\text{ cm}^2`

Final answer:

600 sq cm