Calculate the side of a square that has an area equal to 25.
Calculate the side of a square that has an area equal to 25.
How long are the sides of a square that has an area of 16?
How long are the sides of a square if its area is equal to 100?
How long are the sides of a square if its area is equal to 256?
Calculate the length of the sides of the square given that its area is equal to 144.
Calculate the side of a square that has an area equal to 25.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We are given the area of the square is 25 square units.
Step 2: We'll use the formula for the area of a square, , where is the length of a side.
Step 3: Set up the equation . To solve for , take the square root of both sides: . This results in , considering the constraint that a side length must be non-negative.
Therefore, the solution to the problem is the side of the square is .
5
How long are the sides of a square that has an area of 16?
We need to determine the side length of a square whose area is 16.
Since a side length cannot be negative, we take only the positive square root. Therefore, the side length of the square is , which corresponds to choice 4.
4
How long are the sides of a square if its area is equal to 100?
To determine the length of the sides of a square when the area is given, we proceed as follows:
Therefore, the length of each side of the square is .
10
How long are the sides of a square if its area is equal to 256?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The formula for the area of a square is given by:
where is the area and is the side length. Given , we have:
Step 2: To find , take the square root of 256:
Step 3: Calculate the square root:
Thus, the length of each side of the square is .
Therefore, the solution to the problem is:
Checking against the given answer choices, our result corresponds to choice : .
16
Calculate the length of the sides of the square given that its area is equal to 144.
To calculate the length of the sides of a square given that its area is 144, we follow these steps:
Therefore, the length of the sides of the square is 12.
This corresponds to choice 4: , which emphasizes using the square root operation. However, the final calculation confirms that .