a wire 34 cm long is cut into 2 pieces. One piece is bent to form a square and the other is bent to form a rectangle that is twice as wide as it is long. How should the wire be cut in orderto minimize the total area of square and rectangle?

Q: If the height of a cone is multiplied by 5, how will this affect its volume   5 times greater…

A: As Volume of a cone is given as  V1 =13πr2h1 If height of the cone is multiplied by 5  h2=5h1 Then…

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Q: A piece of wire 16m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: piece of wire of length 60 cm is cut, and the resulting two pieces are formed to make a circle and a…

A: Let the length of square is x. Then each side of the square will be x4. The circumference of the…

Q: A 100 cm piece of wire is going to be cut in two pieces. One will be bent into a square, and the…

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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: A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What…

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet…

Q: Find the length and width of a rectangle whose length is 5 cm longer than its width and whose area…

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Q: a rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

A: A rectangular piece of metal is 5 inches longer than it is wide. squares with sides 1 inch long are…

Q: A 216 square meter rectangular tomato and pepper garden is to be enclosed by a fence and divided…

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Q: A farmer with 800 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the figure, the…

Q: Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed by…

A: We need to find  the stake be placed to use the least amount of wire?

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

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Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

Q: one rectangle is (2x+1)cm wide and (3x+2) cm long. another rectangle is (4x-2) cm wide and (5x+1) cm…

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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: Let, x be the length of the rectangle and ybe the breadth of the rectangle. Given that, A rectangle…

Q: A 168-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

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: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: A farmer with 780 ft of fencing wants to enclose a rectangular area and then divide it into four…

A:

Q: A 480-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: We will use Lagranges multiplier to solve this question.

Q: A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards,…

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Q: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation  5x +…

Q: A 120-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: Given: The length of the fence is 120 m. The fence is to be cut into pieces to make three square…

Q: The Central Park Zoo needs to build a rectangular area of 225 sq. feet to holda zebra, a lion, a…

A:

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front…

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Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A:

Q: A farmer wants to fence in an area of 200 square feet in a rectangular field and then divide it in…

A: Given Area of rectangular field =200 square feet

Q: A one-story building having a rectangular floor space of 13200 ft2 is to be constructed where a 22ft…

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Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the…

A: Area of the rectangular yard:= 1000 square yard;         Fencing cost around the highway:=…

Q: A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is…

A: the total length of a wire is 14m  let the length of a square be x m so, the length of a circle will…

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square…

A: Let length used for square = x m Length used for rectangle = 4-x m Let side of square = 4a =x a=x/4…

Q: . A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the…

A: Explanation of the answer is as follows

Q: A 4-pen kennel of 1,440 square feet is to be constructed as shown. The cost is $20 per foot for the…

A:

Q: A 240-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: Solution is given below:

Q: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: A rectangular poster is to contain 648 square inches of paint. The margins at the top and bottom of…

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Q: What are the dimensions of a rectangle that will maximize the area given its imeter is 100 units?

A: Given: Perimeter of rectangle is 100 units   To Find: Dimensions of a rectangle that will maximize…

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: Trapezoidal  and geometrical area

Q: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the…

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

A:

Q: 3. Two posts, one 16 feet high and the other 32 feet high, stand 36 feet apart. They are to be…

A: Since Multiple questions are asked, according to guideline, answering first question. Post again for…

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

A: Solution is written in below steps.

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: This question involves the concept of find the local extrema using calculus.

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Consider the given information.