Question

Find the area of a square with apothem of 10m.

Answer 1

`Area = 400m^2`

Explanation:

Given

`a = 10m` --- apothem

Required

The area of the square

The relationship between the apothem (a) and the length (L) of 1 side of a square is:

`a = (L)/(2)`

Make L the subject

`L = 2a`

Substitute
`a = 10m`

`L = 2*10m`

`L = 20m`

The area is then calculated as:

`Area = L^2`

So:

`Area = (20m)^2`

`Area = 400m^2`