A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides. Find the cost of the least expensive fence.

150 feet by 300 feet.

Step-by-step explanation:

The fence is to enclose a rectangular area of 45,000 ft squared.

If the dimensions of the rectangle are x and y

Area of a rectangle = xy

Perimeter of the Rectangle =2x+2y

Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides.

Substitute into the Cost to get C(y)

C=12x+6y

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.

Recall,

Since x=150, y=300

The dimensions that will be least expensive to build is 150 feet by 300 feet.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

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