The length of a rectangular parking lot is 36 m longer than it's width...The area of the parking lot is 51 52 m².
a.Find the length of the width of the parking lot
b.What equation represents the area of the parking lot.

Step-by-step explanation: Given: - Let the width of the parking lot be   meters.- The length of the parking lot is 36 meters longer than the width, so the length is     meters.- The area of the parking lot is 5152 m². a. Finding the width of the parking lot: 1. Write the Area Equation:The formula for the area of a rectangle is      .Substitute the values we have:       2. Expand and Simplify the Equation:Expand the left side of the equation:     3. Rearrange the Equation:Rearrange the equation to set it equal to zero:       4. Solve the Quadratic Equation:We can solve this quadratic equation using factoring, quadratic formula, or completing the square. Let's use the quadratic formula:    In this equation,    ,    , and    . Substitute the values into the formula and solve for  .5. Calculate the Width:Once you find the value(s) of  , choose the positive value as the width of the parking lot. b. Equation representing the area of the parking lot: The equation representing the area of the parking lot is:      In this case, the length is     meters and the width is   meters. So, the equation can be written as:        By following these steps, you can find the width of the parking lot and understand the equation representing the area of the parking lot.

Answered by lepitenremejoyce | 2024-09-02