Johnny is designing a rectangular poster to contain 12 inches squared of printing with a 3 inch margin at the top and bottom and a 4 inch margin at each side. what overall dimensions will minimize the amount of paper used, in inches?

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: 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: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: A closed box, whose length is twice its width, is to have a surface area of 192 sq. inches. Find the…

A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…

Q: A farmer with 600 ft. of fencing wishes to construct a rectangular pasture divided into two…

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Q: A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around…

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Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: Given, Let's assume the side of the square base = a Height of the box  = h Volume = area of  base *…

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: You are designing a rectangular poster to contain 75 in of printing with a 3-in margin at the top…

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Q: You are building five identical pens adjacent to each other with a total area of 1000 square meters…

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Q: A supermarket employee wants to construct an open-top box from a 14 inches by 30 inches piece of…

A: Use the figure to find the length, width and height for the box. So, the length = (30 – 2x) inches.…

Q: My rectangular cabbage patch has a total area of 80 sq. ft. Find its perimeter in terms of the width…

A: Given the data:

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

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Q: The sum of the sides of an isosceles triangle is 24ft. find the lengths of the sides that maximize…

A: Given:              Let ΔABC be an isosceles triangle with AB=AC.Let AD be the altitude of the…

Q: A long rectangular sheet of metal 30 inches wide is to be made into a gutter by turning up strips…

A: Let the length of the vertical strips along the tow sides is x inches. Then the length of the base…

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 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: What are the dimensions for the cheapest possible rectangular box with a volume of 56 cm if the…

A: Consider the provided question, Let length of the box = l cm Width of the box = w cm And, height of…

Q: A cube shaped box has a volume of 125 inches.  If the box is packed full of cubes with edge lengths…

A: Vbigger box = 125  cubic inchEdge length of small cube = 1 inchVolume of one small cube, Vsmall cube…

Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what…

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

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

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Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

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Q: You are building five identical pens adjacent to each other with total 30m length of fencing, as…

A: Given, 5 identical pens and 30 m length of fencing. We need to maximize the total area.

Q: If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is…

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Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

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Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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Q: Find the dimensions of a rectangle of area 255 square centimeters that has the least perimeter.…

A: Given  The a rectangle of area 255 square centimetres .

Q: A rectangular price tag has a perimeter of 20 centimeters and an area of 21 centimeters. What are…

A: Given: A rectangular price tag has a perimeter of 20 centimeters and an area of 21 centimeters.

Q: Find the dimension of the rectangular corral producing the greatest enclosed area given 200 meters…

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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: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you…

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the…

Q: A farmer has 900ft of fencing and wants to fence off a rectangular vegetable field. What are the…

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Q: You’re building five identical pens adjacent to each other with a total area of 1000 m^2, as shown…

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Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

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 27-inch by 72-inch piece of cardboard is used to make an open-top box by removing a square from…

A: The numerical is interpreted as shown in the drawing below;

Q: A concrete slab consists of a rectangle 37' by 34' with a uniform thickness of 2'. What is the cost…

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Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

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Q: The surface area of a triangular prism is 78 square inches. What is the surface area of a similar…

A: Given that  The surface area of a triangular prism is 78 square inches  To find the surface area of…

Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

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Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

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Q: Find the edge of a cube if its total area is numerically equal to three times its volume.

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

A: Consider the given information.