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A small rectangular pen containing 12 square yards is to be fenced in. The front

ID: 3373947 • Letter: A

Question

A small rectangular pen containing 12 square yards is to be fenced in.  The front, to be made of stone, will cost $5 per yard, while each of the other three wooden sides will cost only $2 per yard.  What is the least amount of money that will pay for the fencing?

A small rectangular pen containing 12 square yards is to be fenced in. The front, to be made of stone, will cost $5 per yard, while each of the other three wooden sides will cost only $2 per yard. What is the least amount of money that will pay for the fencing? Question 1: What is the total cost if the brick side is pi ? yards long? Hint: the front is pi ? yards long, and therefore the back is also pi ? yards long, because it is a rectangle. Since the area is 12 square yards, the other two sides must be 12/pi? yards long. The front cost $5 per yard, the back cost $2 per yard and the other two sides are also $2 per yards, so the total cost will be what you get when you multiply and add (combine like terms). What is the total cost if the brick side is x x yards long? Hint: look at your answer to Question 1 and replace pi ? by x

Explanation / Answer

1.)total cost = 5*3.14 + 2*12/3.14=23.34


2.total cost= 5x+24/x

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