Question

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

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.