Find the maximum area of a rectangle that can be circum -scribed about a given rectangle with length L and width  W.

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

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Q: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

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: Determine the Maximum area of a rectangle lot that can be created with a 1000m length of fencing…

A: Given: Length of fencing is 1000m We know that fencing means boundary Let x, y be the length and…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

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Q: Find the maximum area of a rectangle circumscribed about a fixed rectangle of length 10cm and width…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Consider a rectangle, inscribed in a circle of radius r.Then,

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: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: This question can be solved using the concept of maxima and minima.

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

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Q: Show that among all rectangles with a given perimeter, the square is the one with the maximum area.

A: A rectangle is a quadrilateral whose opposite sides are equal and parallel to each other. The…

Q: Find the dimensions of the rectangle of largest area having fixed perimeter 100.

A: Given: Perimeter of rectangle = 100.

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

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: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: Find the dimensions of the largest field that can be enclosed with this amount of fencing, and find…

A: The total length of fence is 148ft.

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

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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: Find the area of the largest circle which can be cut from a square of edge 5 in. What is the area of…

A: square edge(L) = 5 in.Area of square = L^2= 5*5= 25 sq.inthe center of the square will be the center…

Q: Find the maximal area of a right triangle with hypotenuse of length 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: The rectangle which can be inscribed in a right triangle with base 8 cm and height 6  cm.

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

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Q: Find the dimensions of a rectangle with area 1000m2 whose perimeter is as small as possible.

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

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

A: Given:     Hypotheses length = 1

Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.

A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…

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: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

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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: Determine the dimensions of the rectangle of rectangle of the largest area that can be inscribed in…

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

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Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

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

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Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

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

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Q: Find the area of a square whose diagonal has length V10 in.

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .

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

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: 4. Find the maximum area of an isosceles triangle inscribed in a circle of radius r.

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

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Q: Find the maximal area of a right triangle with hypotenuse of length 6. 5.59

A: Solving the problem by finding the maximal area of triangle.

Q: Determine the dimensions of the largest rectangle that could be inscribed in a semi-circle of radius…

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