Solution:
It should be noted:
- Area of regular octagon: 2(1 + √2)x² (x = side)
Substitute the side length into the formula.
- 2(1 + √2)x²
- => 2(1 + √2) × 6²
Simplify the distributive property.
- => 2(1 + √2)36
- => 72(1 + √2)
- => 72 + 72√2
Simplify 72√2 using a calculator.
Add if needed.
Looking at the options, it is said that option C is correct as 173.8 and 173.82 are approximate numbers.
Option C is correct.