The following octagon is formed by removing four congruent triangles from a rectangle. What is the area of the rectangle?
![The following octagon is formed by removing four congruent triangles from a rectangle What is the area of the rectangle class=](https://us-static.z-dn.net/files/d37/09439c05188a07ae046a905d08e8c196.png)
Answer:
[tex]A=60 cm^{2}[/tex]
Step-by-step explanation:
The area of a rectangle is defined as
[tex]A=l \times w[/tex]
Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
If you observe the given graph, you will find that the dimensions are
[tex]l=2+6+2=10cm[/tex]
[tex]w=2+2+2=6cm[/tex]
So, replacing these dimensions we have
[tex]A=10cm \times 6cm\\A=60 cm^{2}[/tex]
Therefore, the right answer is the last choice, [tex]A=60 cm^{2}[/tex]