Question

The area of the polygon is 48 mi2. What is the length of side a? miles

Answer 1

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