Question

What is the area of a regular hexagon with sides of 2.5 in and apothem is 12 in?

• A. 89 $i{n}^2$
• B. 14.5 $i{n}^2$
• C. 80 $i{n}^2$
• D. 90 $i{n}^2$

Answer 1

The correct option is D 90 $i{n}^2$

Area of regular hexagon = $\frac{perimeter\times apothem}{2}$
Perimeter = number of sides $\times$ side length
Perimeter = $6\times 2.5=15$ inc
So, Area = $\frac{15\times 12}{2}$
Area = $90$ $in{c}^2$