Answer:
[tex]\text{Total area of octagon is }52 cm^2[/tex]
Step-by-step explanation:
we have to find total area of octagon formed by removing four congruent right triangles from a rectangle.
First we have to find the the area of rectangle whose length and breadth are
Length=2+6+2=10 cm
Breadth=2+2+2=6 cm
[tex]Area=Length\times breadth=10\times 6=60 cm^2[/tex]
Area of 4 congruent right triangles are
[tex]=4(\frac{1}{2}\times 2\times 2)=4\times 2=8 cm^2[/tex]
Area of octagon=area of rectangle-area of 4 triangles
=60-8=52 cm^2[/tex]
[tex]\text{Hence, total area of octagon is }52 cm^2[/tex]
