A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the perimeter of the triangle, so that the area of the triangle and circle is a maximum? *

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

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Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The…

A: Here we have to find the length and width of the rectangle that has perimeter of 32 with maximum…

Q: Find the length and width of a rectangle taht has an area 968 square feet and whose perimeter is a…

A: Let x and y(in feet) be the length and width of the rectangle Then area of rectangle is

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: a rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence…

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Q: Find the dimensions of the rectangle of maximum area that can be formed from a 70‑m piece of wire.…

A: Given Perimeter,P=70 m

Q: A tile setter plans to use 5 1/2 inch square tiles along the base of a room that is 7 feet long.…

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Q: A rectangle garden has a circumference of 80mm. What is the maximum possible area of the garden?

A: Given: The perimeter of a rectangular garden is 80mm. A rectangle will have equal sides opposite to…

Q: the perimeter of a quadrilateral (four sided polygon) is 54 inches. The longest side is three times…

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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: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

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Q: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

Q: A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Given query is to find the dimensions of the enclosure and the area.

Q: A farmer would like to fence his rectangular lot on a river bank. If he has 800 m of fencing…

A: In the question consider the field as rectangular.  Let h be height of rectangle and b be breadth of…

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

A: Let length, L of rectangle = (x) mLet width, B of rectangle = (y) m Perimeter of rectangle =…

Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

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: An animal shelter has 160 feet of fencing to enclose two adjacent rectangular playpenareas for dogs.…

A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

Q: A carpenter has a 10 foot long board to mark off a triangular area on the floor in the corner of a…

A: The carpenter has a 10 foot longboard in the corner of a room. We have to find the maximum area of…

Q: A rectangular playground is to be fenced off and divided in two by another fence parallel to one…

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

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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 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

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: One side of a triangle is three times as long as another side, and the third side is 12 inches long.…

A: Let the length of the shortest side of triangle be x inches. given that One side of a triangle is…

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 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: A rectangular rice field is to be fenced along 4 sides and, in the middle, to divide it into two…

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Q: A farmer plans to make 3 identical and adjacent rectangular pens, using an existing wall as one…

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

A: Let the length and width of the rectangular garden be x and y respectively fence…

Q: Find the length and width of a rectangle that has perimeter 48 meters and maximumarea.

A: Let l and b are the length and width of a rectangle.Perimeter of the rectangle is 48 meters.That is,…

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

A: Given: Perimeter of rectangle=80 meters

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than…

A: Let the shortest side= x cm  so the longest side= 3x cm  third side= 3x-2 cm

Q: Of all rectangles with a perimeter of 17, which one has the maximum​ area? (Give the​ dimensions.)

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Q: What is the maximum area that can be completed with 240 feet of fencing? What are the dimensions?

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Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

Q: WHAT IS THe MAXIMUM AREA ENCLOSED BY A RECTANGLE HAVING PERIMETER OF 52 INCHES?

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Q: A rectangle is to be fit inside a scalene triangle of lengths 7, 4 and 5 units. What is the maximum…

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

A:

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

A:

Q: framer has 160 feet of fencing to enclose two adjacent rectangular pens. what dimensions should he…

A:

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

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Q: Find two numbers whose sum is 50 and whose product is a maximum.

A: To find two numbers whose sum is 50 and whose product is a maximum.

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 farmer has 2,000 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Maximize area