Answer:
[tex]Area = 400m^2[/tex]
Step-by-step explanation:
Given
[tex]a = 10m[/tex] --- apothem
Required
The area of the square
The relationship between the apothem (a) and the length (L) of 1 side of a square is:
[tex]a = \frac{L}{2}[/tex]
Make L the subject
[tex]L = 2a[/tex]
Substitute [tex]a = 10m[/tex]
[tex]L = 2*10m[/tex]
[tex]L = 20m[/tex]
The area is then calculated as:
[tex]Area = L^2[/tex]
So:
[tex]Area = (20m)^2[/tex]
[tex]Area = 400m^2[/tex]
