Determine the area of the regular octagon, Mathematics

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Determine the area of the regular octagon with the following measurements.

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a. 224 square units

b. 112 square units

c. 84 square units

d. 169 square units

b. Seems that the octagon will be subdivided into 8 congruent triangles. Since each triangle has a base of 4 and a height of 7, the area of each traingle will be found using the formula, area = 1/2 height x base. To calculate the area of the octagon, we will ?nd the area of a triangle and multiply it by 8. The area of one triangle is 1 (4)(7) or 14. Multiply this value times 8; (14)(8) = 112. This is the area of the octagon. If you chose a, you used an incorrect formula for area of a triangle. Area = 1/2 base × height was used rather than area = 1/2 base × height. If you select d, you mistakenly divided the octagon into 6 triangles instead of 8 triangles.


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