Using given facts, the length of the parking lot to be increased is given by: Option B: 20 feet.
<h3>How does area of a rectangle, and its length and width are related?</h3>
Area of a rectangle is the product of its length and width.
If a rectangle has length L units and width of W units, then
Area = L × W squared units.
<h3>How to find the solution to a standard quadratic equation?</h3>
Suppose the given quadratic equation is
Then its solutions are given as
For the given case, we can use variable in place of unknown increment in length and width of the parking lot.
- Current length of the parking lot = 120 ft
- Current width of the parking lot = 80 ft.
Thus, current area of the parking lot =
Let the increment in length and width of the parking lot be of 'x' feet.
Then, we get:
- New length of the parking lot = 120 + x ft.
- New width of the parking lot = 80 + x ft.
Thus, new area of the parking lot =
It is given that the new area = current area + 4400 ft squared.
Thus, we get an equation as:
Comparing it with , we get a = 1, b = 200, c = -4400
Thus, its roots are:
x is denoting the length increased, so it cannot be negative, as increment is in positive sign always.
Thus, x = 20 (feet).
Learn more about solution of quadratic equations here:
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