A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers as a comma-separated list.)(b) Find a function that models the area of the field in terms of one of its sides.(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values.smaller dimension:larger dimension: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need afence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?A(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of eachconfiguration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers asa comma-separated list.)(b) Find a function that models the area of the field in terms of one of its sides.A(x) =(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at thefollowing values.smaller dimensionftlarger dimensionft

Name: A farmer has 2400 ft of fencing and wants to fence off a rectangular f
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Description: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?(a) Experiment

Assume a set of values from 200 to 1000 for x and 400 to 2000 for y. The tabular arrangement shown…

Answered: A farmer has 2400 ft of fencing and…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?

(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers as a comma-separated list.)

(b) Find a function that models the area of the field in terms of one of its sides.

(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values.

smaller dimension:

larger dimension:

A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a
fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence?
A
(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each
configuration, and use your results to estimate the dimensions of the largest possible field. (Enter your answers as
a comma-separated list.)
(b) Find a function that models the area of the field in terms of one of its sides.
A(x) =
(c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the
following values.
smaller dimension
ft
larger dimension
ft

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