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A regular octagon has sides measuring about 4cm. If the octagon is divided into 8 congruent triangles, each has a height of 5 cm. What is the area of the octagon?

Verified Answer :

The area of a triangle is 1/2baseheight

So, do that for one of the triangles, since they're all the same 1/245=10cm squared

Multiply by 8 to find the total

10*8=80

80 cm squared.

AL2006


Base of each triangle = about 4 cm
Height of each triangle = 5 cm

Area of each triangle = (1/2) (base) (height)
and there are 8 of them.

Total area = (8) x (1/2) x (base) x (height) =

                       (4) x (about 4 cm) x (5 cm) = about 80 cm² .

 

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