Area of the Square: Calculate The Missing Side based on the formula

The area of the large square is:
$10^2=100$

The area of the small square is 25.

$\frac{100}{25}=4$

The square root of 4 is equal to 2.

We will call X the length of the side:

$\frac{10}{x}=2$

$2x=10$

$x=5$

Remember that the area of the square is equal to the side of the square raised to the second power.

The formula for the area of the square is:

$A=L^2$

We calculate the area of the square:

$9=a^2$

We extract the root:

$\sqrt{9}=L$

$3=L$

Remember that the area of a square is equal to the side of the square squared.

The formula for the area of a square is:

$S=a^2$

Calculate the area of the square:

$16=a^2$

Calculate the square root:

$\sqrt{16}=a$

$4=a$

Remember that the area of the square is equal to the side of the square raised to the second power.

The formula for the area of the square is:

$A=L^2$

We calculate the area of the square:

$4=L^2$

We extract the square root:

$\sqrt{4}=L$

$2=L$

Remember that the area of a square is equal to the side of the square squared

The formula for the area of a square is:

$S=a^2$

Let's calculate the area of the square:

$36=a^2$

Let's take the square root:

$\sqrt{36}=a$

$6=a$

Remember that the area of a square is equal to the side of the square raised to the second power.

Formula for the area of the square:

$A=L^2$

We calculate the area of the square:

$81=L^2$

We calculate the root:

$\sqrt{81}=a$

$9=a$

Remember that the area of a square is equal to the side of the square raised to the second power.

Now we substitute the data into the formula:

$64=L^2$

Then, we calculate the square root:

$\sqrt{64}=L$

$L=8$

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

We substitute the data into the formula:

$100=L^2$

Then we calculate the root:

$\sqrt{100}=L$

$L=10$

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

Now we replace the data in the formula:

$121=L^2$

We extract the root:

$\sqrt{121}=L$

$L=11$

Remember that the area of a square is equal to the side of the square raised to the 2nd power.

We replace the data in the formula:

$144=L^2$

Then we calculate the root:

$\sqrt{144}=L$

$L=12$

Remember that the area of a square is equal to the side of the square raised to the 2nd power.

We substitute the data into the formula:

$169=L^2$

We calculate the root:

$\sqrt{169}=a$

$L=13$

The area of the square is equal to the length of the square raised to the second power.

That is:

$A=L^2$

Since we know that the area of the square is equal to 400, we perform the formula as follows:

$400=L^2$

We solve the square root:

$\sqrt{400}=L$

$L=20$

The side of the square is equal to 20.

Remember that the area of a square is equal to the side of the square raised to the 2nd power.

Now, we replace the data in the formula:

$900=L^2$

We extract the root:

$\sqrt{900}=L$

$L=30$

Remember that the area of a square is equal to the side of the square raised to the 2nd power.

Now, we replace the data in the formula:

$25=L^2$

We extract the square root:

$\sqrt{25}=L$

$L=5$

Since the area of the square is equal to the side raised to the 2nd power, we use the formula to find the side:

$49=a^2$

$a=7$

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

Now, we replace the data in the formula:

$1=L^2$

We extract the root:

$\sqrt{1}=L$

$L=1$

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the appropriate formula to find the side length.
• Step 3: Perform the necessary calculations.

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, $A = s^2$, where $s$ is the length of a side.
Step 3: Set up the equation $s^2 = 25$. To solve for $s$, take the square root of both sides: $s = \sqrt{25}$. This results in $s = 5$, considering the constraint that a side length must be non-negative.

Therefore, the solution to the problem is the side of the square is $s = 5$.

We need to determine the side length of a square whose area is 16.

• Step 1: Set up the equation using the area formula for a square, $A = s^2$. Given the area $A = 16$, we have:
  $s^2 = 16$
• Step 2: Solve for $s$ by taking the square root of both sides:
  $s = \sqrt{16}$
• Step 3: Calculate the square root:
  $s = 4$

Since a side length cannot be negative, we take only the positive square root. Therefore, the side length of the square is $4$, which corresponds to choice 4.

To determine the length of the sides of a square when the area is given, we proceed as follows:

• Step 1: Recall the formula for the area of a square: $\text{Area} = \text{side}^2$.
• Step 2: We need to find the side length, so we rearrange the formula to solve for the side: $\text{side} = \sqrt{\text{Area}}$.
• Step 3: Substitute the given area into the formula: $\text{side} = \sqrt{100}$.
• Step 4: Calculate the square root: $\sqrt{100} = 10$.

Therefore, the length of each side of the square is $10$.

To solve this problem, we'll follow these steps:

• Step 1: Apply the area formula $A = s^2$.
• Step 2: Set the given area equal to the formula: $256 = s^2$.
• Step 3: Solve for $s$ by taking the square root of both sides.

Now, let's work through each step:

Step 1: The formula for the area of a square is given by:

$A = s^2$

where $A$ is the area and $s$ is the side length. Given $A = 256$, we have:

$256 = s^2$

Step 2: To find $s$, take the square root of 256:

$s = \sqrt{256}$

Step 3: Calculate the square root:

$\sqrt{256} = 16$

Thus, the length of each side of the square is $16$.

Therefore, the solution to the problem is:

$16$

Checking against the given answer choices, our result corresponds to choice $\#2$: $16$.