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

C

Explanation:

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

A =
`(1)/(2)` pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5
`√(3)` , then

A =
`(1)/(2)` × 60 × 5
`√(3)`

= 30 × 5
`√(3)`

= 150
`√(3)`

≈ 259.8 cm² ( to the nearest tenth )