Area of the Square: Express using

Increasing a specific element by addition of.....or multiplication by.......Worded problemsTrue / falseApplying the formulaCalculate The Missing Side based on the formula
Question 1

Look at the following square:

AAABBBDDDCCC4X+4Y

Which expression represents its area?

Question 2

Look at the following square:

AAABBBDDDCCCa-b

Which expression represents its area?

Question 3

Look at the square below:

AAABBBDDDCCC4+X

Which expression represents its area?

Question 4

Look at the following square:

AAABBBDDDCCCx+y

Express the area of the square.

Question 5

Look the square below:

AAABBBDDDCCC

Which expression represents its area?

Examples with solutions for Area of the Square: Express using

Exercise #1

Look at the following square:

AAABBBDDDCCC4X+4Y

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Exercise #2

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=(a−b)2 A=(a-b)^2

Answer

(a−b)2 (a-b)^2

Exercise #3

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 #4

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 #5

Look the square below:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the value of one of its sides squared.

Below is the formula for the area of a square:

S=a2 S=a^2

Let's therefore insert the known data into the formula as follows:

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

Answer

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

Question 1

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Question 2

Look at the square shown below:

AAABBBDDDCCC

Which expression represents its area?

Question 3

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Question 4

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Question 5

Look at the square below:

AAABBBDDDCCC

Which expression describes its area?

Exercise #6

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Exercise #7

Look at the square shown below:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square can be obtained by squaring the measurement of one of its sides.

The formula for the area of a square is:

S=a2 S=a^2

Let's therefore insert the known data into the formula:

S=x2y2 S=x^2y^2

Answer

x2y2 x^2y^2

Exercise #8

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Exercise #9

Look at the following square:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Exercise #10

Look at the square below:

AAABBBDDDCCC

Which expression describes its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Question 1

Look at the square below:AAABBBDDDCCC

Which expression represents its area?

Question 2

Look at the following square:

AAABBBDDDCCC8-3X

What is its area?

Question 3

Look at the square below:

AAABBBDDDCCC

Which expressions represents its area?

Question 4

Look at the following square:

AAABBBDDDCCC5+2X

Express the area of the square in terms of \( x \).

Question 5

Look at the square below:

AAABBBDDDCCCX-7

Express its area in terms of \( x \).

Exercise #11

Look at the square below:AAABBBDDDCCC

Which expression represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to the measurement of one of its sides squared.

The formula for the area of a square is:

S=a2 S=a^2

Hence let's insert the given data into the formula as follows:

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

Answer

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

Exercise #12

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=(8−3x)2 S=(8-3x)^2

S=(−3x+8)2 S=(-3x+8)^2

Answer

(−3x+8)2 (-3x+8)^2

Exercise #13

Look at the square below:

AAABBBDDDCCC

Which expressions represents its area?

Video Solution

Step-by-Step Solution

The area of a square is equal to measurement of one of its sides squared.

Below is the formula for the area of a square :

S=a2 S=a^2

Let's now insert the known data into the formula:

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

Answer

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

Exercise #14

Look at the following square:

AAABBBDDDCCC5+2X

Express the area of the square in terms of x x .

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

Finally, 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=(x−7)2 A=(x-7)^2

Answer

(x−7)2 (x-7)^2