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Area A rectangular field is to have a perimeter of 6000
Chapter 2, Problem 80A(choose chapter or problem)
Problem 80A
Area A rectangular field is to have a perimeter of 6000 ft.
a. Write the area, A, of the field as a function of the width, w.
b. Find the domain of the function in part a.
c. Use a graphing calculator to sketch the graph of the function in part a.
d. Describe what the graph found in part c tells you about how the area of the field varies with the width.
Questions & Answers
QUESTION:
Problem 80A
Area A rectangular field is to have a perimeter of 6000 ft.
a. Write the area, A, of the field as a function of the width, w.
b. Find the domain of the function in part a.
c. Use a graphing calculator to sketch the graph of the function in part a.
d. Describe what the graph found in part c tells you about how the area of the field varies with the width.
ANSWER:
Solution
Step 1 of 1:
We have given a perimeter of rectangular field
(a)we need to write the area of the field as a function of width,
Here
We know that area of rectangle is
where
is length and
is width of rectangle …(1)
And