if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

Q: Suppose that 208 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given:  208 ft of fencing is used to enclose a coral From given figure diameter of the semicircle is…

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 back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the…

A: Given :- The back of Dante's property is a creek. Dante would like to enclose a rectangular area,…

Q: A wire b m long is cut into two pieces. One piece is bent into an equilateral triangle and the other…

A: given

Q: The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to…

A: Let, x be one of the number from the pair who's sum is 22 and whose product is as large as possible.…

Q: If an isosceles triangle has a fixed perimeter P, find the dimensions that maximize the area. Your…

A: Given: An isosceles triangle is given with perimeter P. The objective is to find the dimensions of…

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd…

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Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

Q: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square…

A: The area of rectangle having length L and breadth B is given by Area=L×B and perimeter is calculated…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and ther with a…

A: We are given area of rectangular field = 2,000,000 sq.feet Let length be l and Width be w. We have…

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A:

Q: The minimum size of a stop sign is a regular octagon measuring 30 inches across. Find the area of…

A: Please see the below picture for detailed solution.

Q: If an isosceles triangle has perimeter P, how long must the legs of the triangle be to maximize its…

A:

Q: A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Maximum Area = 160652…

Q: Of all rectangles with a fixed perimeter of P, which one has the maximum area? (Give the dimensions…

A: let the length of rectangle is l and width is bthen perimeter (P)=2(l+b)sol+b=P2or l=P2-b

Q: A wire of length 10 is to be cut into two pieces, one being bent to form a square and the other to…

A: It is given that a wire of length 10 units to be cut into two pieces. Let one piece of wire be x…

Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

Q: Find the dimensions of a rectangle with are is 625 m^(2) whose perimeter is as small as possible.

A: Let x=Length and y=Width of rectangle. From the question, Area of rectangle is 625 m2 Area=xy=625…

Q: Suppose that 202 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that 202 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

Q: a rectangle is delimited by the x axis and the semicircle, y = v2 25 -X^2 how long and wide the…

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Q: S, the area of a rectangle with a fixed perimeter increases, reaches a maximum, and then decreases.…

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Q: If a gun is fired with and a =30o and V0 = 500m/s, whenwill the bullet hit the ground? How far from…

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Q: Define the livable space of a building to be the volume of space in the building where a person 6…

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Q: Helen has 28 m of fencing which she can use to surround a pen for her pigs. What is the maximum area…

A: we know that square have maximum area in four side polygon so, given pen will be a square we know…

Q: An open-top box is to be made from a 37 in. by 27 in. piece of cardboard by removing a square from…

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

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Q: Find the length and width of a rectangle with perimeter 196 and whose area is a maximum. Assume the…

A: Let the length of the rectangle is l              width of the rectangle is w.

Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: Fihd the maximal area of a right triangle with hypotenuse of length 6.

A:

Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: Suppose that 465 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: We are given that 465 ft of fencing is used to enclose a corral in the shape of a rectangle with a…

Q: Suppose that 477 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that: Length of total fencing =477ft                             NOTE: As per our answering…

Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

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: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be…

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Q: According to the shipping regulation of a company, the girth plus the length of a parcel sent by…

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Q: You and your friends are hosting a round pizza party, and you are tasked in determining what size…

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Q: Given that the perimeter of an isosceles triangle has 26 cm. If we want to maximized its area, what…

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Q: Of all rectangles with a perimeter of lo meters, which one has the maximum area? (GIve both the…

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Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480…

Q: A farmer has 1,200 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = √9-x². Vertical cross…

A: Given: Let us consider the given semi-circle, y=9-x2 Let's determine the Area of the square.

Q: Find the dimensions of the rectangle in the figure shown below that will give the maximum area, if…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…

A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…