Find the dimensions of the rectangle with max area that can be inscribed in a circle of radius 10.

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

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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: 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: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A poster of area 6000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the…

A: Let x and y be the length and width of poster in cm.  Area of poster is 6000 cm2 ,so we have

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

A: Given: A rectangle inscribed in an equilateral triangle of side L assuming one side of the rectangle…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a 30°-60°-90° triangle and…

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Q: 28, g6) = 2x2 [,3],8 reclanyles

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Q: composed

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Q: A farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

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: A closed rectangular box is to be constructed with a base that is twice as long as it is wide. If…

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Q: A wire of length L is available for making a circle and a square. How should the wire be divided…

A: In the question we have to find the length of wire where it should be divided to maximize the area…

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

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Q: An open box is constructed by cutting square corners with side x cm from a 150-cm by 100-cm sheet of…

A: According to the problem, we have

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 30 and with its…

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Q: A poster must have 32 sq. in, of printed matter with margins of 4" each at the top and 2" at each…

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Q: two chicken coops are to be built adjacent to one another from 144ft of fencing. WHAT DIMENSIONS…

A: Let the length of the individual chicken coops = x ft Let the width of the individual chicken…

Q: What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 8 units?

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Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in.…

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Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: The Perimeter of rectangular field = 800 m Let length of field = x m Width of field = y m

Q: A poster of area 6000 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: SOLUTION-

Q: A rectangle has one corner at the point (0,0), a second corner on the posit below. What is the…

A: Let the length of the rectangle be "y" and breadth be "x". The expression for the area of the…

Q: Find the dimensions of a rectangle of maximum area inscribed in a circle of radius 4. (Must show…

A: Let ABCD be the rectangle inscribed in the circle of radius 4. AC and BD are the diameters of length…

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: Find the area of the largest rectangle that can be inscribed in asemicircle of radius r

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Q: Find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a…

A: Given, Radius=3 inch Height=10 inch The formula for the volume of a cylinder is, v=πr2h Let, x be…

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 dimensions of the closed rectangular box with maximum volume that can be inscribed in the…

A: Let 2x, 2y, 2z be the dimensions of rectangular box. Then Let

Q: A window on a new house is designed as a rectangle with a semicircle on the top. If the window is…

A:

Q: A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions…

A: Here, the volume of the box is given by: V=lbh Here, for the given box, l=9-2x, w=10-2x,h=x. So,…

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: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

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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: What the maximum area of a triangle which is inscribed in a circle of radius 4cm and one of its…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

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

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

A: Let base of the rectangle = 2x and height = y

Q: 2 ends

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Q: A piece of wire of length 200 ft is bent into the shape of a rectangle. Which dimensions produce the…

A: Given:  Length of wire = 200 ft Wire is bent into the shape of a rectangle So, perimeter of…

Q: Find the area of the largest rectangle that fits into the triangle with sides х — %3D1 ахis, у —…

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Q: A poster must have 32 sq. in. of printed matter with margins of 4” each at the top and 2” at each…

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Q: Is the rectangle of fixed area whose perimeter is a minimum a square?

A: Given Area of a rectangle =  square units-----(1)   Let length of the rectangle be feet and the…

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: A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that…

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Q: find the maximum volume of a rectangular box that a post office will accept for delivery of the sum…

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

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