Answer:
w = 4x - 8/5
Explanation:
To find the width of the rectangular carpet, we need to use the formula for the area of a rectangle, which is A = length * width. In this case, we are given the area of the carpet as 2x + 6x - 16 square feet, and the length of the carpet as 2 + 8 feet. We can substitute the given values into the formula: 2x + 6x - 16 = (2 + 8) * width Simplifying the equation: 8x - 16 = 10 * width To isolate the width, we divide both sides of the equation by 10: (8x - 16) / 10 = width Simplifying further: 4x - 8/5 = width Therefore, the binomial expression for the width of the carpet, in terms of x, is: width = 4x - 8/5