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.