SOLUTION: Vriana lives on a ranch. She builds a rectangular corral for her horses. She only has 160 feet of fencing. She has a barn on her ranch that is 90ft by 120 ft. She decides to build

Question 1131139: Vriana lives on a ranch. She builds a rectangular corral for her horses. She only has 160 feet of fencing. She has a barn on her ranch that is 90ft by 120 ft. She decides to build the rectangular corral using PART OF ONE SIDE of the barn and the 160 feet of fencing.
Using a sketch that is labeled, a constraint equation, optimization function, determine dimensions of corral that captures most possible area, compute this maximum possible area
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If longest side of barn is used, 120 feet, and x is the portion along the barn side, then , and area for the corral becomes . The maximum for this expression can be found:

The zeros, 0 and 160.
Exactly in the middle,

The other dimension:

Dimensions for maximum area:
80 and 40.

Maximum Corral Area:
3200 ft^2
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