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3 votes
The table below shows the relationship between the perimeter and area of four squares.

Area, A

(square units) Perimeter, P

(units)

1 4

4 8

9 12

16 16




Which equation can be used to find A, the area of a square that has a perimeter of P units?



A.A = (P ÷ 4) x (P ÷ 4)

B.A = (P– 4)

C.A = (P + 4) x (P + 4)

D. A=P

User NorbertM
by
8.0k points

2 Answers

3 votes

Answer: We know that the perimeter of a square is given by the formula:

P = 4s

where s is the side length of the square.

We can rearrange this equation to get:

s = P/4

The area of a square is given by the formula:

A = s^2

Substituting s = P/4, we get:

A = (P/4)^2

Simplifying this equation:

A = P^2/16

Therefore, the equation that can be used to find the area of a square that has a perimeter of P units is:

A = P^2/16

So, the correct answer is:

A. A = (P ÷ 4) x (P ÷ 4)

Explanation:

User Ankur Mishra
by
7.9k points
4 votes

I think that the answer for your problem would be

.

.

.

a.a=(p÷4)×(p÷4)

User Ahmed Samy
by
7.5k points