An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way?

Q: the side lengths of a square are lengthened by 3 cm, the area of the square becomes 64m^2.  Find the…

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Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: The length of the initial piece of cardboard = 4 inches. The width of the initial piece of cardboard…

Q: By cutting six small squares out of a rectangle, as in the picture below, one creates a pattern that…

A: From the figure dimension for the box Length of the box = 3 -2x Width of the box = (4-3x)/ 2    = 2…

Q: The top of the trough with a triangular cross-section is a rectangle 40cm by 100cm and the depth of…

A: Find your answer below

Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: dimensions

A: Please refer to the image below

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: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A: Given information:The top and bottom margins of a poster are each 2 cm, and the side margins are…

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of…

A: To find the dimensions for minimum area, we need to find function of area in terms of either width…

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 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: The width of a rectangular cardboard is 10 inches longer than its width. Squares of 2 inches on a…

A: Let the width of the rectangular cardboard be ‘a’.According to the question, the length is 10 inches…

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data:   The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A: AnswerLet x,y be the length and width of printedareaGiven area of printed area  A=864 cm2  xy=864…

Q: The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area…

A:

Q: A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P125 per…

A: We need to find largest lot dimensions.

Q: A rectangle piece of Metal has a length that is 10 inch longer than its width. Squares with sides 3…

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Q: You are going to enclose a rectangular garden by using an existing fence along one side of the…

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

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

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Q: A rectangular lot whose perimeter is 320 feet is fenced along three sides. An expensive fencing…

A: Consider the length of the lot be l. Consider the width of the lot be w. Perimeter of rectangular…

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

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Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: A rectangle has a length 2 m less than twice its width. When 2 m are added to the​ width, the…

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Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

A:

Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

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Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be…

Q: A rectangular field, bounded on one side by a building, is to be fenced in on the other three sides.…

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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: An open-topped box can be created by cutting congruent squares from each of the four corners of a…

A: Given, l= 30-2x b= 20-2x h= x Volume= 1008 cm³

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 14 cm. If the area of…

A:

Q: A piece of wire36cm long is cut into two​ pieces, each to be bent to make a square. The length of a…

A: Given: The length of the wire is 36 cm and cut into two pieces.  each to be bent to make a square.…

Q: Of all rectangle that have a perimeter of 42 feet, find the dimensions of the one with the largest…

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Q: A rectangular box is to be made from a square piece of cardboard of side length 10 inches by cutting…

A: We need to determine dimension of box.

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Given:         Let x be the length ( in cm ) of the printed material and y be the width ( in cm ) of…

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: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: A rectangular lot whose perimeter is 220 feet is fenced along three sides. An expensive fencing…

A: Let x = length, y = width. Given: Perimeter = 220 feet Cost of length per foot = $20 Cost of width…

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 6 cm. If the area of…

A:

Q: A rectangular piece of fabric has a square cut out of one corner. The longer edge of the piece of…

A: Given, A rectangular piece of fabric has a square cut out of one corner. The longer edge of the…

Q: A gardener with 600 meters of available fencing wishes to enclose a rectangular field and then…

A: Given problem:- A gardener with 600 meters of available fencing wishes to enclose a rectangular…

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

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Q: 2. The area of a rectangular field is 162 sq. m and its length is twice its width. Find the…

A: Given,            Area of the rectangular field is 162 sq. m

Q: The top and bottom margin of a poster are 6 cm and side margins are each 4cm. If the area of the…

A:

Q: Find the dimensions of a rectangle whose perimeter is 28 metres and whose area is 40 sq mts

A: Given perimeter of a rectangle=28 m Area of a rectangle=40 m2 Let length of rectangle=l m And…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A:

Q: To create an open tray from a 24" by 36" sheet of metal, squares are cut from each corner. Find the…

A: Let x be the side of the square that has to cut from 24" by 36". The length of the tray will be…

Q: 2. A rectangular lot adjacent to a highway is to be enclosed by a fence. If the fencing costs P250…

A: The rectangular plot has length x  and width y cost of the fence is 250(length along highway )…