A farmer needs to enclose three sides of a garden with a fence (the fourth side is a cliff wall). The farmer has 54 feet of fence and wants the garden to have an area of 360 sq-feet. What should the dimensions of the garden be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)

Q: Suppose you want to build a rectangular deck in your back yard. You want it to be 6 meters wide and…

A: topic - area of rectangle

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Q: Michael must build a rectangular storage shed. He wants the length to be 6 ft greater than the…

A: topic - perimeter of a rectangle

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Q: A rectangle field is to be watered by a rotating sprinkler head with a range of 25 feet. The…

A: Given:  A rectangular field should be watered by a rotating sprinkler head with a range of 25 feet.…

Q: A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide…

A: Let, x and y be the dimension of the rectangle. So, xy=1000000⇒y=1000000x...(1) Now, the fence…

Q: You have 272 feet of fencing and would like to build a playpen for your two show poodles.  The…

A: We use second derivative test to find largest area dimensions for each poodles