The top of a box is a rectangle with a perimeter of 72 inches. If the box is 8 inches high, what dimensions will give the maximum volume?

Q: Find the length and width of a rectangle with a perimeter 160 and whose area is a maximum.

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Q: The sum of the bases and altitude of a trapezoid is 36 inches and one base is 6 inches longer than…

A: We have to find all three dimensions

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

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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: A company making luggages have these requirements to follow. The length is 15 inches greater than…

A: According to question,Length is 15 inches greater than depth and the sum of length, width and depth…

Q: You are to fence off two rectangular garden beds of the same size in such a way that they share one…

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Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

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 rectangle having area 392 m2 is twice as long as it is wide.Find its dimensions.

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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: 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: The breadth of a room is twice its height , one half of its length and the volume of the room is 512…

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Q: Mang Toti has a rectangular lot with one side against the wall. If he has 160m of fencing materials,…

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Q: A farmer wants to fence a rectangular field and then divide it in half with a fence down the middle…

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

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Q: A rectangular room is 33 meters longer than it is wide, and its perimeter is 2626 meters. Find the…

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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: Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and…

A: To find dimension of the rectangular box of maximum volume  Given sum of length, width and height…

Q: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

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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: What positive number exceeds its cube by the maximum amount?

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Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

Q: The perimeter of a rectangle is to be no greater than 80 centimeters and the width must be 10…

A: let length be x and width is given to be 10. Perimeter of a rectangle is defined as 2(length +…

Q: A rectangle has a perimeter of 40m. What could be the maximum area of the rectangle?

A: A rectangle has a perimeter of 40 m. Let x and y be the length and width of the rectangle. Now…

Q: A piece of wire, L inches long is to be used to form a square and a circle. How much of the wire…

A: A piece of wire is used to form a square in first case and then a circle.

Q: The height of a cylindrical tank is twice its diameter, Find the surface area of the tank if it can…

A: you written about find surface area of cylinder but upload imageof a prism,    So I will solve…

Q: You have 40 feet of fence to enclose a rectangular garden with two subdivisions. What is the maximum…

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Q: The maximum area of a rectangle whose perimeter is 144cm is ... cm^2

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Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given that the perimeter of the rectangle is 200 feet.   Suppose that the length of the rectangle x…

Q: The Perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square…

A: Let the length = x Width= y So, perimeter= 2(x+y)=20  x+y=10 y=10-x

Q: The height of a cylindrical tank is twice its diameter. What is the surface area of the tank if it…

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Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

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Q: When enclosing 3 sides, the maximum area for a given rectangular area is obtained by forming a…

A: Given:Length is twice the ?

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: Find the dimensions of a rectangle with perimeter 40 whose area is as large as possible. What is the…

A: Consider the rectangle with length x and width y, then 2x+2y=40x+y=20y=20-x...1 Here, the objective…

Q: A rectangular room is 4 meters longer than it is wide, and its perimeter is 28 meters. Find the…

A: Given :                length = x m                width = y m           perimeter = 2 (x + y) =…

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

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Q: The perimeter of a rectangle is to be no greater than 100 centimeters and the width must be 15…

A: Perimeter of rectangle = 2 ( length + width)  Given width = 15 cm  and  perimeter of a rectangle…

Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used…

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

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

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Q: You are to fence off two rectangular garden beds of the same size in such a way that they share one…

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Q: The dimensions of a rectangular prism can be expressed as x + 1, x − 2, andx + 4. In terms of x,…

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Q: Find the length and width of a rectangle that has 80 meters perimeter and a maximum area.

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

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Q: The base of a triangle measures 40 inches minus twice the measure of its height. For what measure of…

A: Let h is the height of the triangle Then, according to question  base=40-2h Then…

Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…