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A rancher has 600 feet of fencing to enclose two adjacent rectangular corrals (see figure). (a) Write...

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Basic Math

A rancher has 600 feet of fencing to enclose two adjacentrectangular corrals (see figure).

(a) Write the area A of the corrals as a function ofx.

A(x) =


(b) Construct a table showing possible values of and thecorresponding areas of the corral. (Round your answers to twodecimal places.)

xA
55
60
65
70
75
80

Use the table to estimate the dimensions that will produce themaximum enclosed area. (Round your answers to two decimalplaces.)

x =  ft
y =  ft


(c) Use a graphing utility to graph the area function.


Use the graph to approximate the dimensions that will produce themaximum area. (Round your answers to two decimal places.)

x =  ft
y =  ft


(d) Write the area A as a function of x instandard form to find analytically the dimensions that will producethe maximum area.

A(x) =



(e) Compare your results from parts (b), (c), and (d).

They are very similar.

They are significantly different.

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