Right-angled 66344

From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of ​​the octagon is 14 cm2.

Correct answer:

o =  13.6569 cm

Step-by-step explanation:

a=4 cm c=2=2 cm1.4142 cm  c2 = b2 + b2  b=c/2=1.4142/2=1 cm  z=a2 b=42 1=2 cm  o=4 c+4 z=4 1.4142+4 213.6569 cm   Verifying Solution:  S1=a2=42=16 cm2 S2=4 2b b=4 21 1=2 cm2 S3=S1S2=162=14 cm2

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