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.

square 1

Practice Square for 9th grade

Exercise #1

Look at the square below:

404040

What is the area of the square?

Video Solution

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=L2 A=L^2

We calculate the area of the square:

A=402=1600 A=40^2=1600

Answer

1600 1600

Exercise #2

Look at the square below:

333

What is the area of the square?

Video Solution

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=L2 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=32=9 A=3^2=9

Answer

9 9

Exercise #3

Look at the square below:

101010

What is the area of the square?

Video Solution

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=L2 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=102=100 A=10^2=100

Answer

100 100

Exercise #4

Look at the square below:

111111

What is the area of the square?

Video Solution

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=L2 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=112=121 A=11^2=121

Answer

121 121

Exercise #5

Look at the square below:

121212

What is the area of the square?

Video Solution

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=L2 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=122=144 A=12^2=144

Answer

144 144

Exercise #1

Look at the square below:

131313

What is its area?

Video Solution

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=L2 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=132=169 A=13^2=169

Answer

169 169

Exercise #2

Look at the square below:

141414

What is the area of the square equivalent to?

Video Solution

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=L2 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=142=196 A=14^2=196

Answer

196 196

Exercise #3

Look at the square:

202020

What is the area of the square?

Video Solution

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=L2 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=202=400 A=20^2=400

Answer

400 400

Exercise #4

Look at the square below:

222

What is the area of the square?

Video Solution

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=L2 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=22=4 A=2^2=4

Answer

4 4

Exercise #5

Look at the square below:

252525

What is the area of the square?

Video Solution

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=L2 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=252=625 A=25^2=625

Answer

625 625

Exercise #1

Look at the square below:

303030

What is the area of the square?

Video Solution

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=L2 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=302=900 A=30^2=900

Answer

900 900

Exercise #2

Look at the square below:

666

What is its area?

Video Solution

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=L2 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=62=36 A=6^2=36

Answer

36 36

Exercise #3

Given the square:

777

What is the area of the square?

Video Solution

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=L2 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=72=49 A=7^2=49

Answer

49 49

Exercise #4

Look at the square below:

999

What is the area of the square?

Video Solution

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=L2 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=92=81 A=9^2=81

Answer

81 81

Exercise #5

The quadrilateral ABCD is shown below.

888777AAABBBDDDCCC

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

Answer

No