Question

How to calulate the area of a square with a perimeter of 60 inches​

Answer 1

Answer: 225 in.²

Step-by-step explanation: First, we want to find the length of one side. Since we know that a square has 4 sides and the perimeter is 60 inches, we can set up the following equation to find the length of one side.

Let's use l as our variable to represent length.

4l = 60

To get l by itself, we need to divide by 4 on the left side of the equation. Since we divided by 4 on the left side, we must also divide by 4 on the right side. On the left side, the 4's cancel and we are left with l. On the right side, we have 60 over 4 which simplifies to 15.

This means that a side of the square is 15 inches.

Now, we are asking ourselves what is the area of a square with a side length of 15 inches.

To find the area of a square, remember that a square is a type of rectangle so we can use the following formula.

Area = length × width

However, since the length and width of a square are always equal, we use a special version of this formula to find the area of a square.

Instead of area = length × width, we say that the area of a square equals side × side or S².

Since the sides of the square each have a length of 15 inches, the area of the square is equal to (15 in.)² or (15 in) (15 in) which equals 225 in.²

Therefore, the area of the square is 225 in.².

Answer 2

Answer:

A = 225 in²

Step-by-step explanation:

The formula of an area of a square:

$A=s^2$

s - side

The formula of a perimeter of a square:

$P=4s$

s - side

We have a perimeter

$P=60\ in$

Substitute:

$4s=60$             divide both sides by 4

$\dfrac{4s}{4}=\dfrac{60}{4}\\\\s=15\ in$

Put it to the formula of an area of a square:

$A=15^2=225\ in^2$