Find the area of a regular hexagon whose apothem is 1.7 cm and side length is 2 cm ... A. 20.4 cm2. B. 3.4 cm2. C. 6.8 cm2. D. 10.2 cm2

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Mathematics

Thalia Spence

Today, 13:15

Find the area of a regular hexagon whose apothem is 1.7 cm and side length is 2 cm ... A. 20.4 cm2. B. 3.4 cm2. C. 6.8 cm2. D. 10.2 cm2

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Octavio Hunt · Answer 1

A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.

A - triangle = (1/2) (a) (s) = (1/2) (1.7 cm) (2 cm) = 1.7 cm²

Multiplying this area by 6 to get the area of the hexagon gives as the answer which is 10.2 cm². Therefore, the answer is letter D.