Find the area of a regular hexagon with an apothem 3.5 miles long and a side length of 4 miles.
A) 42 mi²
B) 84 mi²
C) 35 mi²
D) 21 mi²

Question

Find the area of a regular hexagon with an apothem 3.5 miles long and a side length of 4 miles.                                                                       
A) 42 mi²                                                                 
B) 84 mi²                                                                    
C) 35 mi²                                                                    
D) 21 mi²

anonymous · Answer

Apothem = A = 3.5 miles , 
Side = 4 miles
Perimeter of hexagon =P = 6 x 4 = 24 miles
Area of hexagon = AP/2
= 3.5 x 24 / 2
= 42 sq. miles