Question 4 (Essay Worth 10 points) (06.03,06.04 MC) You have a rectangular space where you plan to create an obstacle course for an animal The area of the rectangular space is represented by the expression 10x^2-6x The width of represented by the expression 2x Part A: Write an expression to represent the length of the rectangular space. Then simplify your expression. Show all your work. (6 points) Part B: Prove that your answer in part A is correct by multiplying the length and the width of the rectangle. Show all your work. (4 points)

Part A:To find the expression for the length of the rectangular space, we can use the formula for the area of a rectangle, which is length times width. We are given that the area is represented by the expression and the width is represented by the expression . Let's denote the length as . Then, we have:Area = Length * Width To solve for , we divide both sides of the equation by : Simplifying the expression, we get: So, the expression to represent the length of the rectangular space is .Part B:To prove that our answer in Part A is correct, we can multiply the length and the width of the rectangle and check if it equals the given area expression.Length * Width = Expanding the expression, we get: Since this expression matches the given area expression, we can conclude that our answer in Part A is correct.