Asked by Ally
Two unit squares share the same center. The overlapping region of the two squares is an octagon with perimeter 3.5. What is the area of the octagon?
I don't know how to do this. Could you please help me?
I don't know how to do this. Could you please help me?
Answers
Answered by
Steve
I will assume the octagon is regular, so each side is 3.5/8 = 7/16.
Now just divide the octagon into eight isosceles triangles, each with base 7/16 and vertex angle 45°.
The area of each triangle is easy to do, and just multiply it by 8.
Now just divide the octagon into eight isosceles triangles, each with base 7/16 and vertex angle 45°.
The area of each triangle is easy to do, and just multiply it by 8.
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