The table below shows the relationships between the area and perimeter of four squares.
Squares
Area, A
(square units) Perimeter, P
(units)
16 16
25 20
36 24
49 28
Which equation can be used to find A, the area of a square that has a perimeter of P units?
The equation that can be used to find the area of a square that has a perimeter of P units is:
\[ A = \left(\dfrac{P}{4}\right)^2 \]
This equation relates the area of a square to its perimeter by dividing the perimeter (P) by 4 to find the length of one side of the square, and then squaring this length to find the area of the square.