Question
What expression represents the total area of the four white triangles?
![](data:image/png;base64,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)
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 a square = (side)2
The correct answer is: 12x + 36
The area of the outer square of side x+6 cm = (x+6)2
(x+6)2 = (x+6)(x+6) = x(x+6) +6(x+6)
= x(x) + x(6) +6(x) +6(6)
= x2 + 6x + 6x + 36
= x2 + 12x + 36
The area of the inner square of side x cm = x2
Now, Total area of four white triangles = Area of the outer square - area of the inner square
= x2 + 12x + 36 - x2
= 12x + 36
Final Answer:
Hence, the expression for the total area of the four white triangles is 12x + 36.
The area of the inner square of side x cm = x2
Now, Total area of four white triangles = Area of the outer square - area of the inner square
Final Answer:
Hence, the expression for the total area of the four white triangles is 12x + 36.
Related Questions to study
Write the product in the standard form. (𝑥2 − 2𝑦)(𝑥2 + 2𝑦)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥2 − 2𝑦)(𝑥2 + 2𝑦)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. (3𝑎 − 4𝑏)(3𝑎 + 4𝑏)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. ![open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses](data:image/png;base64,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)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Write the product in the standard form. ![open parentheses 1 fourth x minus 2 over 3 close parentheses open parentheses 1 fourth x plus 2 over 3 close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJwAAAAmCAYAAAAx6fJeAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAAA51JREFUeNrtnEGElVEUx49nJHmb5BlJhoyMZMx2JCOSjLdItBhJEiNpMYs2SZK3aZVkDElGMoYkyTMiIy1mMSRpMcaQVi3GbDKS8cTrnPudx/j6et+9537z9e7c8+fPzJvvvvfNz333nnPv+S5Atq6jp0H1iFnYSrkJuJ1Ef0b35Vx3FH2Hrw1BJ9Av0ZvoFt/3xZw2xOALeky57Qy3fehv6BGLG3mOnkS3AwH3AT2BrvLvx9BL/Fo3HWcmVeVWODdooGccbygUcFka4G+izRTRUG7Fcquhf6APRQSOtGVxzUGeUmrKrTBucJuHe4gI3ChPDzZ6yrGXciuGG6xw4BsLuL3oZQ6KbYPnVeVWDDfKnDaENxAiuP3o1+gzju3W0UPKzZsbXEHPRQLuCEMbFLSdY1bKzY8bPENfiwAcfcue8DKGRFeZlXLz4wZN9PguB9ePfgH5C7PddBa9oNy8uZk4pLbLwTXTcYRA1VTMptxk3OAXuiIAlnYvq93FtqowK+Xmxy34Rcgy1VJu3twUnHAqbAd63//988u6GcpW7me83uC/aYfbOW5RdjjSJ858OqL1melAR4qQuEXb4ShFfsA/n0Yv6pRaCregOlxb6H/pHSTFeVTMd6CAzy7rvl07nHLrgRGONMVZy7AmDaVxi3ZK7ZQs0/QwoR2uNG5RdjjaAH4DyZ4crT5/tJgatMMVwy26DkdbQAspUHWQFS/G1OGK4hZVh9uDfgXZZdjznIFph4uHG/z2eKM6hLHifopHCtrTo3r8NfRDwdTUUm7e3ESb0MDxxEog4N6jz/Oo0RE91vfW4T36wH/zXrmhvkNSPuyqx5BsrYS8F7vpcC19qzeUmzc3U/PkGg9Qmr7YIwGpT/a36nD9OPxdgKnc3LnBLKRqzi2CWXoQdiBQcP38/66BW8XuJLNSbn7c4JJjmk2VCzd6KOV2yZS2e8qx/Xyqgyk3GTfzuNu6ZWPaVlnqlvIGIIq7zkHyfOWYQzuKQ4aUmzc3IxrqRy0a04cNBg5ue7a47LA8kBW3KDcZN7gJyWP5rsNrSPX5WdqyvI6mzlvKrTBuJnWVHMoS8jd1mAPgPB1G/4TsxU7lJuNmdBdk1bchgKNzzi5AsghZ4aGezi+7bNGWHgK+1+Xvyk3GzVQjfAX3eqsQwNGBM02eCsi0gl63aDcCdgcSKjd3bka0MGlzdGgM6qyb2ZyOpNxk3IxooW5GuZlp0uXsEOWWw+0Pf6vCoBnvnQYAAAFYdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1mcmFjPjxtbj4xPC9tbj48bW4+NDwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWZyYWM+PG1uPjI8L21uPjxtbj4zPC9tbj48L21mcmFjPjwvbXJvdz48L21mZW5jZWQ+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1mcmFjPjxtbj4xPC9tbj48bW4+NDwvbW4+PC9tZnJhYz48bWk+eDwvbWk+PG1vPis8L21vPjxtZnJhYz48bW4+MjwvbW4+PG1uPjM8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+j4XSVwAAAABJRU5ErkJggg==)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
How is it possible that the sum of two quadratic trinomials is a linear binomial?
How is it possible that the sum of two quadratic trinomials is a linear binomial?
If (3x-4) (5x+7) = 15x2-ax-28, so find the value of a?
If (3x-4) (5x+7) = 15x2-ax-28, so find the value of a?
The difference of x4+2x2-3x+7 and another polynomial is x3+x2+x-1. What is the
another polynomial?
The difference of x4+2x2-3x+7 and another polynomial is x3+x2+x-1. What is the
another polynomial?
Use the product of sum and difference to find 83 × 97.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the product of sum and difference to find 83 × 97.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Determine the gradient and y-intercept from the following equation: 4x + y = -10
Determine the gradient and y-intercept from the following equation: 4x + y = -10
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2