SOLUTION: Find the area of the equiangular octagon below.
https://web2.0calc.com/api/ssl-img-proxy?src=https%3A%2F%2Fpreview.redd.it%2F0l2qg3mmy1t51.jpg%3Fwidth%3D960%26crop%3Dsmart%26aut
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Question 1210532: Find the area of the equiangular octagon below.
https://web2.0calc.com/api/ssl-img-proxy?src=https%3A%2F%2Fpreview.redd.it%2F0l2qg3mmy1t51.jpg%3Fwidth%3D960%26crop%3Dsmart%26auto%3Dwebp%26s%3D8643aa9204bef387b574d2d5bbf933a6bb928756
Answer by ikleyn(53570) (Show Source): You can put this solution on YOUR website!
.
Find the area of the equiangular octagon below.
https://web2.0calc.com/api/ssl-img-proxy?src=https%3A%2F%2Fpreview.redd.it%2F0l2qg3mmy1t51.jpg%3Fwidth%3D960%26crop%3Dsmart%26auto%3Dwebp%26s%3D8643aa9204bef387b574d2d5bbf933a6bb928756
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The shape in the figure is a square with four cut triangles.
The side of the square is 1 + 1 + 1 = 3 units, so its area is 9 square units.
Of four cut triangles, each of them is a right angled isosceles triangle with
leg size of 1 unit, so the area of each such triangle is 1/2.
Thus the area of the shape under the question is 9 - 4 * (1/2) = 9 - 2 = 7 square units.
ANSWER. The area of the shape under the question is 7 square units.
Solved.
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