Examples with solutions for Area of the Square: Express using

Exercise #1

Look at the square below:

AAABBBDDDCCC

Which expression describes its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=(2+x)2 S=(2+x)^2

Answer

(2+x)2 (2+x)^2

Exercise #2

Look at the following square:

AAABBBDDDCCC8-3X

What is its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the side of the square raised to the 2nd power:

S=a2 S=a^2

S=(83x)2 S=(8-3x)^2

S=(3x+8)2 S=(-3x+8)^2

Answer

(3x+8)2 (-3x+8)^2

Exercise #3

Look at the following square:

AAABBBDDDCCC

Which expressions represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=(6+4x)2 S=(6+4x)^2

Answer

(6+4x)2 (6+4x)^2

Exercise #4

Look at the square below:

AAABBBDDDCCC4+X

Which expression represents its area?

Video Solution

Step-by-Step Solution

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

Formula for the area of the square:

A=L2 A=L^2

Then we substitute our values into the formula:

A=(4+x)2 A=(4+x)^2

Answer

(4+x)2 (4+x)^2

Exercise #5

Look at the following square:

AAABBBDDDCCC4X+4Y

Which expression represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=(4x+4y)2 S=(4x+4y)^2

Answer

(4y+4x)2 (4y+4x)^2

Exercise #6

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=(x+7y)2 S=(x+7y)^2

Answer

(x+7y)2 (x+7y)^2

Exercise #7

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=(9+y)2 S=(9+y)^2

Answer

(9+y)2 (9+y)^2

Exercise #8

Look at the following square:

AAABBBDDDCCCa-b

Which expression represents its area?

Video Solution

Step-by-Step Solution

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

Formula for the area of the square:

A=L2 A=L^2

We substitute our values into the formula:

A=(ab)2 A=(a-b)^2

Answer

(ab)2 (a-b)^2

Exercise #9

Look at the square below:AAABBBDDDCCC

Which expressions represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=102x2=100x2 S=\frac{10^2}{x^2}=\frac{100}{x^2}

Answer

100x2 \frac{100}{x^2}

Exercise #10

Look at the square below:

AAABBBDDDCCC

Which expressions represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=202y2=400y2 S=\frac{20^2}{y^2}=\frac{400}{y^2}

Answer

400y2 \frac{400}{y^2}

Exercise #11

Look at the square shown below:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=x2y2 S=x^2y^2

Answer

x2y2 x^2y^2

Exercise #12

Look the square below:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

Let's 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=a2 S=a^2

Let's substitute the given data into the formula:

S=x2y2 S=\frac{x^2}{y^2}

Answer

x2y2 \frac{x^2}{y^2}

Exercise #13

Look at the following square:

AAABBBDDDCCCx+y

Express the area of the square.

Video Solution

Step-by-Step Solution

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

Formula for the square area:

A=L2 A=L^2

We substitute our values into the formula:

A=(x+y)2 A=(x+y)^2

Answer

(x+y)2 (x+y)^2

Exercise #14

Look at the following square:

AAABBBDDDCCC5+2X

Express the area of the square.

Video Solution

Step-by-Step Solution

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=a2 S=a^2

Now let's substitute the data into the formula:

S=(5+2x)2 S=(5+2x)^2

Answer

(5+2x)2 (5+2x)^2

Exercise #15

Look at the square below:

AAABBBDDDCCCX-7

Express its area in terms of x x .

Video Solution

Step-by-Step Solution

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

The formula for the area of the square is

A=L2 A=L^2

We place the data in the formula:

A=(x7)2 A=(x-7)^2

Answer

(x7)2 (x-7)^2