The perimeter is the sides of the hexagon. One of the hexagon edges is shared with a rectangular face. Solve for that edge. 78/6=13. The height is the length and edge is the width. Area is length(16) times width(13). 16•13=208. The answer is 208mm^2
 
        
        
        
Answer:
32 mi
Step-by-step explanation:
Solve using proportions.

Find the scale factor (how to get from left to right)
To get from left numerator to right numerator, multiply by 4.
(1/2) X 4 = 2
The scale factor is 4.
Multiply the left denominator by the scale factor to get "y".
8 mi X 4 = 32 mi
Therefore 2 inches represent 32 miles.
 
        
             
        
        
        
Answer:
 X = 12
Y = 4
Step-by-step explanation:
X + Y = 16
X = 3Y
3Y + Y = 16
4Y = 16
Y = 4
X + 4 = 16
X = 12
 
        
             
        
        
        
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is

Where,  is the central angle in degrees.
 is the central angle in degrees.
Putting r=10 and  , we get
, we get



Therefore, the area of the sector is 12.5π sq. inches.