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

In The Regular Octagon Below If AP 10 Cm And BC 15 Cm Find Its Area class=

Sagot :

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

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

[tex]a=\frac{1}{2}*10*15=75\text{ cm}^2[/tex]

now to find area of regular octagon

[tex]A=8a=75*8=600\text{ cm}^2[/tex]

Final answer:

600 sq cm

View image JefryY263138
View image JefryY263138