Question

What represents the area of a rectangle whose length is x − 6 and whose width is x − 8?

Answer 1

Which of the following represents the area of a rectangle whose length is x - 6 and whose width is x - 8? A) x2- 14x - 48. B) x2+ 48. C) x2- 48. D) x2- 14x + 48 . and... for the first one multiply both out to get x^2-14x + 40 8 D 4(8x^3+a million) element out 4 utilising the x^3+y^3 formula, on (2x)^3 + a million^3)

Explanation:

Answer 2

The area of the rectangle with length x - 6 and width x - 8 is given by the expression x² - 14x + 48.

What is the area of a rectangle?

To find the area of a rectangle, you multiply its length by its width. In this case, the length is x - 6 and the width is x - 8. The area (A) is given by:

`\[ A = \text{length} * \text{width} \]`

A = (x - 6)(x - 8)

Using the distributive property, expand the expression:

`\[ A = x \cdot x - 8 \cdot x - 6 \cdot x + 6 \cdot 8 \]`

Combine like terms:

A = x² - 14x + 48

So, x² - 14x + 48 represents the area of the rectangle with length x - 6 and width x - 8.