Calculus area question: rancher has 560' of fencing to enclose 2 rect. corrals

[gee1234]

[FONT=&quot]A rancher has 560 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum? [/FONT]

[FONT=&quot]X=? [/FONT]

[FONT=&quot]Y=?

Thanks![/FONT]

 

[gee1234]

Calculus area question

A rancher has 560 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?

X=?

Y=?

 

[stapel]

A rancher has 560 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you started with what you learned back in algebra, by drawing a picture and labelling dimensions. What variables did you use? For what do they stand? You then used what you know about perimeter and area to create a perimeter equation and an area expression. And... then what?

Please be complete. Thank you!

 

[HallsofIvy]

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Taking the width to be "w" and the height to be "h". What is the total length of fencing required? What is the area?

 

[Caesium]

A rancher has 560 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?

X=?

Y=?

Thanks!

And it always helps to draw a sketch (& label it) BEFORE you start writing any equations..