Question

# Use either the square of a binomial or difference of squares to find the area of the square.

Hint:

### The methods used to find the product of binomials are called special products.

Multiplying a number by itself is often called squaring.

For example (*x* + 3)(*x* + 3) = (*x* + 3)2

Area of square = (side)2

## The correct answer is: 2916

### Area of the given square is 54^{2}

54^{2} can be written as 54 54 which can be further written as (50 + 4)(50 + 4)

(50 + 4)(50 + 4) = 50(50 + 4) + 4(50 + 4)

= 50(50) + 50(4) + 4(50) + 4(4)

= 2500 + 200 + 200 + 16

= 2500 + 400 + 16

= 2916 cm^{2}

Final Answer:

Hence, the Area of the square of side 54 cm is 2916 cm^{2}

^{2}

Final Answer:

Hence, the Area of the square of side 54 cm is 2916 cm

^{2}

### Related Questions to study

### Use a table to find the product.

(2𝑥 + 1) (4𝑥 + 1)

### Use a table to find the product.

(2𝑥 + 1) (4𝑥 + 1)

### Graph the equation on a coordinate plane.

### Graph the equation on a coordinate plane.

### Use a table to find the product.

(𝑥 − 6) (3𝑥 + 4)

### Use a table to find the product.

(𝑥 − 6) (3𝑥 + 4)

### Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?

### Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?

### Graph the equation

We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

### Graph the equation

We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

### The constant term in the product (𝑥 + 3) (𝑥 + 4) is

### The constant term in the product (𝑥 + 3) (𝑥 + 4) is

### Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Write the product in standard form. (𝑥 − 4)(𝑥 + 4)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### Write the product in standard form. (𝑥 − 4)(𝑥 + 4)

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

### The area of the rectangle is 𝑥^{2} + 11𝑥 + 28. Its length is x + __ and its width is __+ 4. Find the missing terms in the length and the width.

### The area of the rectangle is 𝑥^{2} + 11𝑥 + 28. Its length is x + __ and its width is __+ 4. Find the missing terms in the length and the width.

### Simplify: 12 - [13a - 4(5a -7) - 8 {2a -(20a - 3a)}]

### Simplify: 12 - [13a - 4(5a -7) - 8 {2a -(20a - 3a)}]

### Write the product in standard form. (2𝑥 + 5)^{2}

This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2

### Write the product in standard form. (2𝑥 + 5)^{2}

This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2

### Write the product in standard form. (𝑥 − 7)^{2}

This question can be easily solved by using the formula

(a - b)2 = a2 - 2ab + b2

### Write the product in standard form. (𝑥 − 7)^{2}

This question can be easily solved by using the formula

(a - b)2 = a2 - 2ab + b2

### (𝑥 + 9)(𝑥 + 9) =

This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2

### (𝑥 + 9)(𝑥 + 9) =

This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2