jay wants to build a rectangle pen to enclose a garden, pigs, and chickens. the pen must have dividing and is designed as shown below. ------------------------------ I pigs I chicken I ------------------------------ I garden I __________________________________ the exterior fencing on the perimeter the pen costs $4/foot while the interior dividing fence cost $2/foot. if there is $2700 available to spend on fencing, find x and y, produce largest possible enclosed area
|dw:1349910380294:dw|does it divide exact like this?
yes
|dw:1349910437524:dw|then let x = length, y = width then we compute the costs of fencing these. 2x*$4 + 2y*$4 + x*$2 + 1/2 y*$2 = $2700
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