You are constructing a box from a piece of cardboard with dimensions 3 by 5 meters. You cut equal-size squares each corner of the cardboard so you may fold the edges to construct the open top box. What are the dimensions of the box with the largest volume? from The dimensions of the box with the largest volume are meters. (Enter the answer as a list separated by commas.)

Q: Find the dimensions of a rectangle with area 1,000 m2 whose perimeter is as small as possible. (If…

A: Given

Q: 1. The area of a rectangle is 3x³ – 11x2 - 56x - 48, and the length is 3x + 4. What is the width?

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: If you triple the the dimensions of a rectangle, the result is that the new perimeter is

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Q: The area of the rectangular piece of cardboard shown below is 192 square inches. The cardboard is…

A: Given that:Area of square box, A=192 in2Dimension of corner square=3 inVolume of box, V=180 in3

Q: The volume of a rectangular prism is 2x³ +17x² +38x + 15 and one side has a length of x + 5. FInd…

A: Given that the volume of the rectangular prism is 2x3+17x2+38x+15 and one side has a length of x+5.…

Q: A college parking lot is 120 ft long and 80 ft wide. The college wants to increase the area of the…

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Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

A: I use second derivative test to find out dimensions where area is minimum

Q: A goat is tied to a corner of a 5m x 7m shed with an 8m rope, find the ground area that the goat can…

A: There is no relationship between area that a goat can gaze and area of shed.

Q: A farmer has 160 yd of fencing material and wants to enclose three rectangular pens. Suppose that x…

A: Total fence needed = x+x+x+x+y+y+y+y+y+y= 4x+6yThe farmer has 160 yd of fencing. so, 4x+6y=160

Q: or purposes of this problem only, the width is shorter than the length.) ngth - inches idth = inches…

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Q: A rectangle is twice as long as it is wide. If it has an area of 40.5 square inches, what are its…

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Q: 1. Peter wants to make a rectangular vegetable garden in his backyard, using a fence as one side. He…

A: We will find the dimensions of the rectangular garden as following.

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: find the explanation below

Q: Kianna's aquarium is "box-shaped" with dimensions of 4 ft by 1 ft by 8 in. What is the water…

A: Given: A box shaped aquarium has a length of 4 feet, width of 1 feet and a height of 8 inches.  1…

Q: A rectangular painting measures 10 inches by 15 inches and is surrounded by a frame of uniform width…

A: To find the width of the frame means the value of x

Q: All of the areas are perfect squares. A=25 m2 5 m The sum of the areas of the two A= 16 m2 5 m…

A: Yes all the square areas are perfect squares  Sum of two smaller square areas is = area of larger…

Q: RECTANGULAR PIECE OF METAL IS 10 IN. LONGER THAN IT IS WIDE. SQUARES WITH SIDES 2 IN LONG ARE CUT…

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Q: See Image!

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Q: A company ships notepads in rectangular boxes that each have inside dimensions measuring 9 inches…

A: Consider the given information.

Q: 2 centimeters, and the margins on the left and right are to be 1 centimeter. What should the…

A:

Q: The owner ofa ranch has 1,300 yards of fencing material with which to enclose a rectangular piece of…

A:

Q: A farmer with 450 ft of fencing wants to enclose a rectangular area and then divide it into 3 pens…

A:

Q: A rectangular piece of metal is 15 in longer than it is wide squares with sides 3 in long are cut…

A:

Q: The owner of the Rancho Grande has 3,044 yd of fencing with which to enclose a rectangular piece of…

A: Given Data: The length of the fencing is: P=3044 yd Let, x and y are two dimensions of the river.…

Q: A rectangular piece of sheet metal is 9 inches  longer than it is wide. From each corner, a 2 x 2…

A: Let the original width of rectangular piece was w inches then the length of rectangular piece was…

Q: A square has a perimeter of 12x + 20. What is the length of one side of the squa O 4x + 5 O 4 (3x +…

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Q: A packing box has a volume of 30 cubic inches.  How much would a similar box with twice the…

A: When any geometric shape's dimensions are doubled, the perimeter goes up 2 times, the area 4 times,…

Q: A garden plot has dimensions of 15cm by 8m. Determine the width of a footpath to be constructed…

A: According to the question: ****A small correction I made that length must be 15m, not 15cm. Length…

Q: Mr.Bayani has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible…

A:

Q: A Farmer deceives to make three identical pens with 136 feet of fence. The pens will be next to each…

A: NOTE: Refresh your page if you can't see any equations. . x=width y=length  the total fence length…

Q: the school of witchcraft, is rectangular in shape. Its exact dimensions are (4x + 8) meters by…

A:

Q: . If in a rectangle, the length is increased.and the breadth is reduced by 2 units each, the area is…

A: let the length of the rectangle be L units and the breadth of the rectangle be b units  so its area…

Q: A college parking lot is 140 ft long and 100 ft wide. The college wants to increase the area of the…

A: For the given dimensions  L = 140 ft  W =100 ft  If the area is increased by 69% by adding strips ,…

Q: A pool measuring 12 meters by 28 meters is surrounded by a path of uniform width, as shown in the…

A: Here a well explained figure corresponding to our problem is given. We can see that pool and path…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: Let the width of the cardboard= x in So, length of the cardboard= (x+14) in   So width of the box=…

Q: What is the perimeter of a rectangle with length x and width x-5

A: To find the perimeter of a rectangle whose length is x and width is x-5.

Q: What is the remainder of a divided by m if m|a (m divides a)?

A: If b is remainder of that problem then a=mk+b for some integer k

Q: a) If ¼ of the book is red pages, how much space do the red pages take up? b) If the length of the…

A: (a) The thickness of red pages is 34·1+12=34·32=98 As the base area of the book is 28 sq in, we get…

Q: A rectangular piece of sheet metal is 5 inches  shorter than it is wide. From each corner, a 0.5 x…

A:

Q: The area of a square rug is given by 400x2y2. What is the length of one side of the rug? O 20xfyl1 O…

A:

Q: garden was originally in the shape of a square, but it has since been expanded to the shape of a…

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Q: 6. The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: A rectangle piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each…

A: Consider x be the width of the rectangle. So, 2x is the length of the rectangle.Corner cut: A 4 cm…

Q: A rectangular shipping container has a volume of 1008 cm3.  If the piece of      rectangular…

A:

Q: A rectangular piece of sheet metal has a length that is 10in. less than twice the width. A square…

A: we will assume the width of sheet as x and then solve the resulting equation in one variable. volume…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

A: Solution Given A farmer with 750 feet fencing wants to enclosed  a rectangular area and then divide…

Q: 4. Four times the width of a certain rectangle exceeds thrice its length by four inches, and five…

A: As per rules, we will solve only first question 4. Let l denotes the length of the rectangle and b…

Q: rectangular bin 4 feet long, 3 feet wide, and 2 feet high is solidly packed with bricks whose…

A: We have to find number of bricks