Question

Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Answer 1

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = $\frac{1}{2}$ pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5$\sqrt{3}$ , then

A = $\frac{1}{2}$ × 60 × 5$\sqrt{3}$

   = 30 × 5$\sqrt{3}$

   = 150$\sqrt{3}$

   ≈ 259.8 cm² ( to the nearest tenth )