You have a wire that is 80 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum?

Q: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

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A: Please see the below picture for detailed solution.

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Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

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Q: 4. Determine the perimeter of the rectangle with area 232 m? and minimum perimeter. a. About 60.9 m…

A: *As per the guidelines, only first question answered. Please resubmit the remaining questions…

Q: A rain gutter is to be made of aluminum sheets that are 36 inches wide by turning up the edges 90".…

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Q: Find the length and width of a rectangle with perimeter 40 and maximum area. Length and width are?

A: Given: Perimeter of the rectangle is 40. To find: Length and width and maximum area of the…

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A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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

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A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

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Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

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Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

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Q: Building Play Area

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A: Given;+ A 10-ft wire is to be formed into an equilateral triangle and a square. To find What is the…

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A: here first we make a circle of radius r and inside this make an isosceles triangle. This is shown in…

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A: Let l & b be the length and breadth of the room

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A: Maximizing the surface.

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A: (Note: We are entitled to solve only one question at a time and up to 3 subparts only) Given: Twenty…

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Q: Golf balls are usually dimpled.  Does a dimpled golf ball have more surface area than a smooth golf…

A: Dimples reduce the drag exerted on the ball. A dimpled ball experiences about half of drag…

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A: Solution is written in below steps.

Q: You are given a rectangular piece of paper that has length x=35.4 cm and height y=28 cm. The lower…

A: Since, we have been given a rectangular piece of paper that has lengthx=35.4 cm and height y=28 cm.…

Q: What is the length and width of a rectangle that has an area of 64 square ft and a minimum…

A: let length = x width = y   Area = 64 square ftxy=64y=64x

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Q: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We need to find the combined area of square & triangle & where it is maximum

Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…

A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…

Q: A poster is to contain 50 square inches of print material. The margins at the top and bottom of the…

A: Area of rectangle=length* breath