Question

The area of the regular octagon is 10.15 cm2.

Answer 1

1. Consider the figure attached.

2. The octagon can be divided into 8 congruent (identical) isosceles triangles. One of them is AOB.

3. Area(triangle AOB)=10.15/8=1.27 (cm squared)

4. Area(triangle AOB) is also 1/2*MO*AB

so 1.27=1/2*MO*1.45
     MO=$\frac{1.27}{0.5*1.45}=$= 1.75 (cm)

Answer 2

The correct answer is:

B. 1.75 cm

The measure of the apothem, rounded to the nearest hundredth of a centimeter is 1.75 cm.

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