The table below shows the relationship between the perimeter and area of four squares.
Which equation can be used to find A, the area of a square that has a perimeter of P units?

Answer:

The answer is D.

[tex]Area = \frac{1}{16} Perimeter^{2}[/tex]

Step-by-step explanation:

The equation that can be used to find the area of a square that has a perimeter of P units is A = P²/16.

We can observe that as the perimeter of the square increases, its area also increases. Additionally, we can see that for any given square, the perimeter is four times the length of one side or P = 4s, and the area is the length of one side squared, or A = s².

Using this information, we can write an equation to relate the perimeter and area of a square with a perimeter of P units:

P = 4s (perimeter formula)

s = P/4 (solve for s)

A = s² = (P/4)² = P²/16 (substitute s into the area formula)

Therefore, the equation that can be used to find the area of a square that has a perimeter of P units is A = P²/16.

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