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Home / Questions / Construction A farmer has 300 feet of fencing material available to make two adjacent rect...

Construction A farmer has 300 feet of fencing material available to make two adjacent rectangular...

Construction A farmer has 300 feet of fencing material available to make two adjacent rectangular corrals for the farm animals, as pictured.

 width=

(a) Write an equation relating the amount of available fencing material to the lengths and widths of the two sections that are to be fenced.

(b) Use the equation in part (a) to write an expression for the width, , in terms of the length, .

(c) Fill in the following table of possible dimensions for the corrals and the total area of both corrals.

Length, x (feet)

Width, y (feet)

Total Amount of Fencing Material (feet)

Area (square feet)

10

 

300

 

15

 

300

 

25

 

300

 

40

 

300

 

45

 

300

 

k

 

300

 

(d) From the table, what do you observe about the area of the enclosed region as the dimensions of the corrals are varied?

(e) Write an expression for the total area of the enclosed corrals in terms of the length .

(f) Find the dimensions of the corrals that will enclose a total area of 300 square feet.

Apr 24 2020 View more View Less

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