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 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 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 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.

Now, we replace the data in the formula:

$25=L^2$

We extract the square root:

$\sqrt{25}=L$

$L=5$

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:

$\sqrt{1}=L$

$L=1$

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:

$121=L^2$

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 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 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 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:

$\sqrt{4}=L$

$2=L$