• We will use the following formula to calculate the area of a given polygon:
Step 1:
a = s/ ( 2tan(180/n)
a : area of polygon
s : length of a side = 5
n : number of sides in a polygon =7
Plugging this values into our equation :
a = 5 / 2 tan(180/7 )
= 5 / 2tan( 25.71)
= 5/0.9629
a = 5.19
Step 2: calculate Perimeter
P = s*n
= 5 * 7
= 35
Step 3 :
Area = ( p*a )/2
= ( 35 * 5.19)/2
= 181.65 per unit square
Rounding off the final answer to the nearesr tenth:
Area of a polygon = 181.7 per unit square