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An octagon is inscribed in a square so that the vertices of the octagon trisect the sides of the square. The perimeter of the square is 60 centimeters. What is the number of square centimeters in the area of the octagon?

 Nov 10, 2020
 #1
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An octagon is inscribed in a square so that the vertices of the octagon trisect the sides of the square. The perimeter of the square is 60 centimeters. What is the number of square centimeters in the area of the octagon?

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The square side is 15 cm, and the side of an octagon is 5 cm.

 

Octagon area = 8(2.5 * 7.5) = 150 squared centimeters.

 Nov 10, 2020
edited by Guest  Nov 10, 2020
 #2
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I made an error in the above post. The area of an octagon is NOT 150 cm2 !!!  cheeky

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Square area is 152 = 225 cm2

 

Octagon area is 225 - 2(52) = 175 cm2  smiley

jugoslav  Nov 12, 2020
edited by jugoslav  Nov 12, 2020

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