The choices are missing but we can find the answer from the given information
Answer:
The function which models the area of the rectangle is A(x) = 2x² - 6x + 4
Step-by-step explanation:
The formula of the area of a rectangle is A = l w, where l is its length and w is its width
∵ The length of a rectangle is (2x - 4) units
∵ The width of the rectangle is (x - 1) units
- Use the formula of area to find its area
∵ A = l w
∴ A = (2x - 4)(x - 1)
Let us multiply the two brackets
∵ (2x - 4)(x - 1) = (2x)(x) + (2x)(-1) + (-4)(x) + (-4)(-1)
∴ (2x - 4)(x - 1) = 2x² + (-2x) + (-4x) + 4
- Add the like terms
∴ (2x - 4)(x - 1) = 2x² + (-6x) + 4
∴ (2x - 4)(x - 1) = 2x² - 6x + 4
Write A as a function of x
∵ The area of the rectangle is A(x)
∵ The area of the rectangle is 2x² - 6x + 4
∴ A(x) = 2x² - 6x + 4
The function which models the area of the rectangle is A(x) = 2x² - 6x + 4
