Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius 7

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

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Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of…

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Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

A: Consider x to be the length and y to be the width of the rectangular region as shown below.

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

A: Let the perimeter P is given.  Let, length = x and width= y So, 2(x+y)=P Or, x+y=P/2 Or, y= (P/2) -…

Q: Find the dimensions of a rectangle with area is 120 m² whose perimeter is as small as possible

A: topic - application of derivatives

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: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of…

A: Solution:- calculate the value of base by using pythagores therorm.

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in an equilateral…

A: Use property of equilateral triangle and rectangle to solve this

Q: Find the area of the largest rectangle that can be inscribed in a right triangle withe legs of…

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Q: if a triangle is inscribed in a circle so that one of the triangle side is a diameter of a circle,…

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Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A: the triangle is an equilateral triangle. the length of one side is L.

Q: A rectangle is inscribed in a right triangle. If the triangle has sides of length 5, 12, and 13,…

A: Let x and y be the length and breadth of the rectangle inscribed in the triangle. Let us take the…

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

A: Given: Perimeter of rectangle = 100.

Q: Find the dimensions of a closed 800 m3 cylindrical oil storage tank that can be made from the least…

A: Given, The volume of cylindrical  oil storage tank  = 800 m3   We have to find the dimensions of…

Q: Find the rectangle whose vertex is haveng on possible max comum area

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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: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: Find the dimensions of the rectangle of area 100 square units that has the least perimeter.

A: Solution:- Area of rectangle=100   Let assume Length of rectangle=x breath of rectangle=y   Area of…

Q: What is the largest area of a rectangle that could be inscribed in a semi circle having a radius of…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the circle is given…

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: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as…

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Q: A rectangle has a length 2 m less than twice its width. When 2 m are added to the​ width, the…

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Q: Find the area(square meters) of the largest rectangle that can be inscribed in an equilateral…

A: The rectangle is inscribed in an equilateral triangle of side 2 meters. The one side of the…

Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

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Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *

A: From the given figure we can derive length and breadth. below are the steps.

Q: Find the dimension of the largest cylinder that can be inscribed in a cone of a height 8m and radius…

A: Consider the following figure Let r and h be the radius and height of the inscribed cylinder.…

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

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

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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: Find the maximum area of a rectangle that can be circum -scribed about a given rectangle with length…

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Q: A rectangular box is to be made from a square piece of cardboard of side length 10 inches by cutting…

A: We need to determine dimension of box.

Q: triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle. If…

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Q: An open box is to be made from a square piece of cardboard,18 inches by 18 inches, by cutting out…

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

A: Given the figure:

Q: Find the area of the largest rectangle that can be inscribed in a semicircle of radius 10cm.

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

A: We find largest possible area of a rectangle that can be inscribed in a circle having a radius of…

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

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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: Find the dimensions of the rectangle of largest area that canbe inscribed in an equilateral triangle…

A: Solution:- We have to find the  dimensions of the rectangle of largest area that canbe inscribed in…

Q: A Photo Paper with margins of 1.00 inch at the top and bottom and 1.50 inch at the sides is to…

A: Let x and y be the width and length of the page (measured in inches). Given that the area of print…

Q: a) A triangle is inscribed in a semi-circle, its hypotenuse lies on the diameter of the semi-circle.…

A: Given: Let ∆ABC is inscribed in semicircle. The angle inscribed in a semicircle is always a right…

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: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

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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: Find the dimensions of a rectangle of area 324 ft2 that has the smallest possible perimeter.…

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Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

Q: Suppose an airline policy states that all baggage must be rectangular with a sum of length, width,…

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Q: Suppose it takes 10 hours to fill a rectangular swimming pool of uniform depth. How long will it…

A: Solve using flow rate.