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

Line

Answered question

2021-01-16

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.

Answer & Explanation

Clara Reese

Clara Reese

Skilled2021-01-17Added 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.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?