# Square for 9th grade - Examples, Exercises and Solutions

## What is a square?

A quadrilateral whose sides (or edges) are all equal and all its angles are also equal, is a square.
Furthermore, a square is a combination of a parallelogram, a rhombus, and a rectangle.
Therefore, the square has all the properties of the parallelogram, the rhombus, and the rectangle.

## Practice Square for 9th grade

### Exercise #1

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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:

$A=40^2=1600$

$1600$

### Exercise #2

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the diagram provides us with one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=3^2=9$

$9$

### Exercise #3

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=10^2=100$

$100$

### Exercise #4

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=11^2=121$

$121$

### Exercise #5

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=12^2=144$

$144$

### Exercise #1

Look at the square below:

What is its area?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=13^2=169$

$169$

### Exercise #2

Look at the square below:

What is the area of the square equivalent to?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=14^2=196$

$196$

### Exercise #3

Look at the square:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=20^2=400$

$400$

### Exercise #4

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=2^2=4$

$4$

### Exercise #5

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=25^2=625$

$625$

### Exercise #1

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=30^2=900$

$900$

### Exercise #2

Look at the square below:

What is its area?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=6^2=36$

$36$

### Exercise #3

Given the square:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$

Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=7^2=49$

$49$

### Exercise #4

Look at the square below:

What is the area of the square?

### Step-by-Step Solution

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

That is:

$A=L^2$Since the drawing gives us one side of the square, and in a square all sides are equal, we will solve the area of the square as follows:

$A=9^2=81$

$81$

### Exercise #5

The quadrilateral ABCD is shown below.

Is ABCD a square?

### Step-by-Step Solution

As we see that BD is equal to 8 and AC is equal to 7, the sides are not equal, and this contradicts the properties of the square, where all sides are equal to each other, therefore the quadrilateral is not a square