Answer:
To find the area of a rectangle, you multiply its length by its width.
Given that the length of the rectangle is 4x - 5 and the width is 2x - 6, we can calculate the area as follows:
Area = Length * Width
Area = (4x - 5) * (2x - 6)
To find the product, we can use the distributive property, which states that a(b + c) is equal to ab + ac:
Area = (4x * 2x) + (4x * -6) + (-5 * 2x) + (-5 * -6)
Simplifying further, we have:
Area = 8x^2 - 24x - 10x + 30
Combining like terms, we get:
Area = 8x^2 - 34x + 30
Therefore, the area of the rectangle with a length of 4x - 5 and a width of 2x - 6 is 8x^2 - 34x + 30.
Explanation: