You have 800 feet of fencing to make a pen for hogs. If you have a river on one side of your property, what is the dimension of the rectangular pen that maximizes the area?

Q: John wants to enclose his rectangular garden. One side of his garden is up against his house. If he…

A: Given that  John wants to enclose his rectangular garden. One side of his garden is up against his…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: Farmer Dan has 24 feet of fencing. He is going to build a rectangular pen and use natural-number…

A: Given fencing leanth. 24 feet

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A:

Q: A page of 216 square inches is to have margins of 1 inch on either side and 1.5 inches at the top…

A: According to the question, Let x is the width of a the book page. Area given=216 square inches, Area…

Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

Q: Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18 meters…

A: let l be the lengthlet w be the widthThen l+2w=18⇒l=18-2wLet Area of the rectangular pig pen be…

Q: You have 300 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle…

A: Perimeter of a rectangle (P)=2(l+b)where l=length and b=breadthSubstitute…

Q: A 4-pen kennel of 3,240 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: find the dimension of the given figure

Q: Sarah is building a garden in her background. She has 120 m of fencing to put around the edge of her…

A: Fencing of Sarah's vegetable garden is 120m. As she wants to divide the garden into 3 separate…

Q: An architect is asked to design a game room in the shape of an isosceles trapezoid where the non…

A: Let's find fourth side length for maximum area.

Q: A rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

A:

Q: Farmer Ed has 150 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

A: Given perimeter of fencing = 150 meters w = x  l = 150 - 2x   we know area of rectangle = length*…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. If you…

A:

Q: If 1800 feet is available to build 5 adjacent pens, find the dimension of the pens that will…

A: Given:The perimeter of all 5 pens is 1800 ft.Calculation:Let x and y be the length and thge width of…

Q: Patricia decided to build a garden in her backyard. She bought 80 ft. of wire to enclose a…

A:

Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: Your new puppy needs a rectangular dog run outside . You have 50 feet of fencing and plan to use the…

A: To maximize the area , we use Lagrange multipliers.

Q: A 100 ft stainless steel rope is to be cut into two sections. One of the sections will be used to…

A:

Q: You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you River do…

A: The values of the variable for which the function gives maximum or minimum values can be obtained by…

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A:

Q: A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the…

A: Ans One side of reactangular pen is the wall of the       barn , let the length be 'x'.Opposite side…

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: on Help Farmer Ed has 650 meters of fencing, and wants to enclose a rectangular plot that borders on…

A: Given Data: The length of the fencing is: L = 650 m The width of the farm is: x The length of the…

Q: An airline finds that if it prices a cross-country ticket at $400, it will sell 500 tickets per day.…

A:

Q: A rectangular area is to be enclosed and divided into thirds. The family has $400 to spend for the…

A:

Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q =…

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be…

Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

A:

Q: Bill is constructing a rectangular corral in his yard. He only has 32 ft of fencing material and…

A: Bill is constructing a rectangular corral in his yard and he has only 32 ft of fencing material. We…

Q: Susan wants to enclose a little rectangular garden against 1 side of her house.  She has 80 feet of…

A:

Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: perimeter is sum of all side of a triangle

Q: Farmer Ed has 900 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Here it is the application of derivatives.

Q: You have 600 ft of fencing material to construct a rectangular pen for cattle. What are the…

A: Draw diagram.for.pen

Q: You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not…

A: There is a  figure which shows a rectangular plot along with river on one side along with fencing of…

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

Q: Given that the perimeter of an isosceles triangle has 26 cm. If we want to maximized its area, what…

A:

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1400…

A: Given:  A lifeguard needs to rope off a rectangular swimming area in front of Long lake beach using…

Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

A:

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

Q: You have 200 feet of wire fencing, and you will only need to fence in three sides because the barn…

A: Let width=x and length= y  So, 2x+y=200 Or, y=200-2x

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: Let, y b the length of the other side of the cubicles. So, the perimeter of the rectangular…

Q: Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Given that The total fancing=750meters. The length lebeled = 750-2x meters The width lebeled=x…

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: The area of the rectangular land is 1800 sq feet. let the side parallel to divider be y and the side…

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: We can solve the given problem by using the second derivative test.

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A: