The sum of the length and girth (perimeter of a cross-section) of a rectangular carried by a delivery service cannot exceed 108 inches. Find the dimensions of the rectangular package of largest volume that may be sent

Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: let the length of rectangle is l and width is bthenperimeter of…

Q: Find the dimensions of rectangle whose width is 11 meters less than its length and whose area is 522…

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Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

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Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

A: Assume that the dimension of sheet metal = x feet

Q: A picture measuring 50 centimeters by 30 centimeters is surrounded by a frame of uniform width. If…

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Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

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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: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible. (If…

A: Let x and y be the length and width of the rectangle. Now given that the area of the rectangle is…

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

A: Let x be the width and y be the height of the printed area.Then, it is given that xy=1536…

Q: A rectangular room is 22 meters longer than it is wide, and its perimeter is 2020 meters. Find the…

A: Please refer the attached image for complete solution. THANKYOU.

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: 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: 220 ft of fence are used to enclose a rectangular field as well as divide the field into two equal…

A: Let x and y be the length and width of a rectangle.

Q: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

A: the length of a rectangular field exceeds the width by 260 yards. If the perimeter of the field is…

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: An open box with a volume of 128 cm³ can be made by cutting a square of the same size from each…

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Q: A rectangular solar shipping container has a volume of 84 cubic meters. The client tells…

A: Let the width of the solar shipping container be x meter. Since length is one meter longer than the…

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…

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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: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: One side of a rectangular yard is bounded by the side of a house. The other three sides are to be…

A: Let the length of the fence opposite to the house is = x ft So, the length of the other two sides=…

Q: Find the dimensions of a rectangle whose width is 15 meters less than its length, and whose area is…

A: Let the length of rectangle be x.

Q: The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the…

A:

Q: The length of a rectangular pool is to be four times its width, and a sidewalk of width 6 feet will…

A: Lets assume width of a rectangular pool = x So length of a rectangular pool = 4x

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 farmer has 1200 ft of wire to build a fence. He wants to enclose a rectangular area and then…

A: Given that a farmer with 1200 ft of fencing wants to enclose a rectangular area and then divide into…

Q: From each corner of a square piece of sheet metal, remove a square of side9 centimeters. Turn up the…

A: Volume=11cm3 h=9cm

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

A:

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: Let the width of the printed area= x And the height of the printed area=y  Area of the printed…

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

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Q: The perimeter of a square field is the same as that of a rectangular field. If the length of the…

A: First we have to find the side of the square. The we can find the area of the square. Let the side…

Q: The length of a rectangle is 2 m longer than its width. If the perimeter of the rectangle is 24 m,…

A: Let w be the width of the rectangle. Now since the length is 2 m longer than the width, therefore…

Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight…

A: Let l and w be the length and width of the rectangular plot. Use the formula A=lw, to find the area…

Q: The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 32 m,…

A:

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 4 cm. If the area of…

A: Let's find.

Q: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 164…

A:

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 gardener wants to use 300m of fencing to fence in a rectangular garden with with an area of 5000…

A: Given : Perimeter of rectangular garden = 300m  Area of rectangular garden = 5000 m2   To find :…

Q: A rectangular piece of cardboard, whose area is 168 square centimeters, is made into an open box by…

A: Consider a rectangle  piece of cardboard whose length is x centimeters, breadth y centimeters and…

Q: A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If…

A:

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 3 cm. If the area of…

A: Given that:- 1.  length of each box in top row is of 2cm and similarly, in last row length of each…

Q: The footpath of uniform width runs all around a rectangular field 28 meters long and 22 meters wide.…

A: Given Let x be the width of foot path

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: The area of a 12m x 14m playground is to be doubled by extending each side length an equal amount.…

A: Given Area=12m x 14mwhere, length=14m and width=12m

Q: Three of the sides will require fencing and the fourth wall already exists.If the farmer has 132…

A:

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

A:

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: A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter