Determine the area of the regular octagon, Mathematics

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

2223_Determine the area of the regular octagon.png

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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