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murzikaleks [220]
3 years ago
15

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

Mathematics
2 answers:
liberstina [14]3 years ago
7 0

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.

<em>Area = length × width</em>

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 <em>area = length × width</em>, 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.

olasank [31]3 years ago
6 0

Answer:

<h2>A = 225 in²</h2>

Step-by-step explanation:

The formula of an area of a square:

A=s^2

<em>s</em><em> - side</em>

The formula of a perimeter of a square:

P=4s

<em>s</em><em> - side</em>

<em />

We have a perimeter

P=60\ in

Substitute:

4s=60             <em>divide both sides by 4</em>

\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

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