To find: The function that models area of a rectangle in terms of its length whose perimeter is .
The function that models area of given rectangle is .
The formula to calculate area of rectangle is,
Length of the rectangle is .
Perimeter of rectangle is,
Substitute 20 for in above equation and solve for .
Add to both the sides of above equation.
Summarize all the information in a table as shown below,
|In Words||In Algebra|
Use the information in the table and model the function.
Thus, the function that models area of given rectangle is .
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