A 10 meter long ladder is placed against a tall vertical wall to make a right-angled triangle. Find the maximum possible perimeter of this triangle. Justify that your solution yields the maximum perimeter.

Q: A packaging company is going to make open-topped boxes out of 20 cm by 20 cm rectangles of cardboard…

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Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

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Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: A wire of length 10 cm is divided into two parts which are bend in the form of  a  rectangle if it…

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Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

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Q: The rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

A: Dimensions of plastic sheet = 5m×6m×50mm            Dimensions of door  = 3m×4m where Length of…

Q: Find the minimum perimeter rectangle having area 64 square feet. Can you generalize this result?

A: Given that Area of the rectangle is 64 sq. ft We have to find the minimum perimeter. Let the length…

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

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Q: A semi-elliptical goblet has a depth of 4 inches and its round opening has a width of 3 inches. It…

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Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Note: According to Bartleby guidelines; For more than one question asked only the first one is to be…

Q: a 10 meter long ladder is placed against a tall vertical wall to make a right angle triangle , find…

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Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

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Q: An open box is to be made from a 6 ft by 16 ft reetangulas card board by cutting out equaL squares…

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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: the radius of a sphere is found to be 22 cm in length with a possible error of more than 0.07 cm.…

A: The measure of the radius of a sphere is 22 cm with an error of 0.07cm.

Q: Construct a window whose middle is a rectangle and the top and bottom of the window are…

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Q: A landowner wishes to use 2 miles of fencing to enclose a rectangular region of maximum area. 1.…

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Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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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 rectangular parking area measuring 5000 ft? is to be enclosed on three sides using chain-link…

A: The explanation of answer as follows

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

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

Q: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

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

A: Given a rectangular plot of farmland bounded by river on one side and fencing on other three sides.…

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

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…

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Q: A rectangle field is formed using a building as 1 side. The other 3 sides are to be fenced with…

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Q: A rectangular dog kennel is to be constructed with 60 m of fencing alongside a house. The house will…

A: Let the length and width of the kernel be y and x respectively. Since only three sides of the kernel…

Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

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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: Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is…

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Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of…

A: We have to find the maximum area.

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

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Q: . A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288…

A: It is given that the perimeter, P of the window is 288 inches and we have to radius of semicircle…

Q: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

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: 2 ends

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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: Find the dimensions of a rectangle with area 100 m? whose perimeter is as small as possible? Find…

A: to find:- dimensions of the rectangle. minimum perimeter.

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What should…

A: Use application of derivative concept. volume of cylinder and total surface area of cylinder…

Q: A length of wire that is 160 cm long is cut into two pieces: one to form an equilateral triangle and…

A: We will use Second derivative test to find the maximum and minimum area And first derivative to find…

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

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

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What…

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Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…