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 542
542 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 cm2
Final Answer:
Hence, the Area of the square of side 54 cm is 2916 cm2
Final Answer:
Hence, the Area of the square of side 54 cm is 2916 cm2
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 𝑥2 + 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 𝑥2 + 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
