Find the dimensions of the rectangle of largest area that canbe inscribed in an equilateral triangle of side L if one sideof the rectangle lies on the base of the triangle

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

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Q: Show that among all rectangles with an 8-m perimeter, the one with largest area is a square.

A: Let l be the length and b be the breadth of the rectangle.

Q: An open box is to be constructed from a square piece of sheet metal by removing a square of side 4…

A: Assume that the dimension of sheet metal = x feet

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

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Q: Consider a sheet of metal in the form of a right triangle with base 36 inches and height  20 inches.…

A: Consider a sheet of metal in the form of a right triangle with base 36 inches and height 20 inches…

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: What is the largest possible area of a right triangle whose hypotenuse is 5 cm long?

A: according to question,  hypotenuse of a right triangle is 5 cm let the base be b=x and perpendicular…

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 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: According to postal regulations, a carton is classified as “oversized” if the sum of its height and…

A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of…

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

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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 can be inscribed ina right triangle with legs of lengths…

A: Let x and y be the length and width of the rectangle that is inscribed in a right triangle. The…

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

A: In the given figure, marking the points: Given:

Q: Find the volume of the largest box that can be made by cutting equal squares out of the corners of a…

A: Form the equation for the volume then maximize using first derivative.

Q: Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four…

A: The perimeter of a rectangle is 2(x+y) where x is the length and y is width. The perimeter equals…

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: find the area of the largest square that can be cut from a circle of radius of 4 in

A: To Determine: find the area of the largest square that can be cut from a circle of radius of 4…

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

A: Consider the circle with radius 7 be, x2+y2=72x2+y2=49                         …1 Draw the figure 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: Among all rectangles that have Perimeter of 627+, find the dimensions of the one with largest area?

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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 the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

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: 2. Show that of all rectangles with diagonal of length c, the square has the largest area.

A: All rectangles with diagonal of length c, the square has the largest area.

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

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

A: Let OAB be the right angled triangle where O is origin, A lies on x-axis and B lies on y-axis.…

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: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

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

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 dimensions of a rectangle of area 255 square centimeters that has the least perimeter.…

A: Given  The a rectangle of area 255 square centimetres .

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

A: Given the figure:

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 longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

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

A: Here we find out the area of poster including margin

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: Find the area (in cm^2) of the largest rectangle that can be inscribed in a right triangle with legs…

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Q: A rectangular piece of fabric has a square cut out of one corner. The longer edge of the piece of…

A: Given, A rectangular piece of fabric has a square cut out of one corner. The longer edge of the…

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: What are the dimensions of the base of the rectangular box of greatest volume that can be…

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