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.
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?
1 answer