Answer:
Length of side a = 4.30 miles
Incomplete question:
The area of the regular polygon is 48 mi2. What is the length of side a? miles
Step-by-step explanation:
The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;
Given;
Area = 48 mi^2
Area of an hexagon using side a can be written as;
A = (3/2)√3×a^2
Making a the subject of formula
a = √(2/3√3 ×A)
Substituting the values
a = √(2/3√3 ×48)
a = √(32/√3)
a = 4.30 miles
