To find: The function that models the area of rectangle in terms of length of one of its sides. The perimeter of rectangle is 20 ft.

Line 2021-01-16 Answered
To find: The function that models the area of rectangle in terms of length of one of its sides. The perimeter of rectangle is 20 ft.
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Clara Reese
Answered 2021-01-17 Author has 120 answers
Concept used: Area of rectangle is defined as, A=l  b Here, A is area, l is length and b is width. Calculation: Consider the length of one of its sides of rectangle as x. The perimeter of a rectangle is defined as, P=2 (l + b) Here, P is perimeter. The perimeter of rectangle is given as 20 ft. Substitute 20 for P and x for l in above equation to the value of b. 20=2 (x + b)
202=x + b
10=x + b
b=10  x Therefore, the value of b is (10  x) Substitute x for l and 10  x for b in equation to obtain the model that express area of the rectangle A=x (10  x)
=10x  x2 Here, x is always greater than zero and less than 10 to define the area therefore the value of x is always lies in between 0 and 10. Conclusion: Thus, the function that models the are of rectangle in terms of length of one of its sides is A=10x  x2.
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