Topic: Solving Quadratic Equations from Word ProblemsProblem:The length of a rectangle is 5 meters longer than its width.If the area is 84 square meters, find the length and width of the rectangle.Let’s define:• Width = x• Length = x + 5We use the formula for the area of a rectangle:Area = Length × Widthx(x + 5) = 84Your Tasks:1. Write the equation: x(x + 5) = 842. Expand the equation to standard form:(Write the expression in the form ax² + bx + c = 0)3. Solve the quadratic equation using factoring.(Find the two values of x that solve the equation.)4. Identify the width and length based on your solution.(Remember: dimensions can't be negative.)5. Final Answer:Write your final answer in a sentence:The width of the rectangle is _______ meters and the length is _______ meters.Reminders:Show all your solutions step by step.Use one whole sheet of paper.
Answer (1)
Write your final answer in a sentence:The width of the rectangle is 7 meters and the length is 12 meters.
