rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths. Determine the largest possible area of the rectangle if the two sides of e rectangle lie along the legs of the triangle.

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 ladybug crawls around the outside of a rectangle that measures 9.5 cm by 7.5 cm. The ladybug stays…

A: The dimensions of rectangle 9.5 cm by 7.5 cm The ladybug stay 3.2 cm from the rectangle at all time…

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: How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13…

A: Given: Hypotenuse of right triangle is 4x+5 inches and legs are 3x+13 inches and x inches. To…

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

Q: A rectangle has a base of 16 inches and an altitude of 8 inches. Find the dimension of the largest…

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Q: Find the dimensions of a rectangle of area 289 ft that has the smallest possible perimeter. shorter…

A: From the given problem the area of the rectangle is 289ft2.   Let the sides of the rectangle is x…

Q: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

A: A semi-circle of radius 14 cm is formed from a piece of wire. If it is bent into a rectangle whose…

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 triangular lot has two sides equal to each other, the awner want to divide it into 3 equal shares…

A: Given: A triangular lot has two sides equal to each other, the owner want to divide it into 3 equal…

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

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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 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 area of a rectangle with length 4 and diagonal 6

A: We have to find the area of rectangle  having Length L=4 and diagonal d=6 let breadth of rectangle…

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: 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: 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: What are the dimensions of a rectangular wall that can be constructed with 100 feet of brick that…

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Q: how long is the shorter side of the rectangle when one side is 2" longer than the other and the area…

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

Q: A diagonal of a square has length 8. What is the perimeter of the square?

A: Consider the provided information, A diagonal of a square has length 8. Find is the perimeter of the…

Q: Find the dimensions of a rectangle with a perimeter of 160 ft that has the largest possible area.…

A: Perimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven: Perimeter = 160

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: A poster is to have an area of 180 sq. in. with 1 in. margins at the bottom and sides and a 2 in.…

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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 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 largest area of the circle which can be cut from a square of edge 4 in. What is the area of…

A: We have to find largest area of the circle which can be cut from a square of edge 4 inches and area…

Q: 2. Use the fact that 12 oz is approximately 6.897 in to find the dimensions of the 12 oz Coke can…

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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 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 a rectangle of area 256 ft that has the smallest possible perimeter. shorter…

A: Area= length * width Perimeter=2(length + width)

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 square with a side length of 5 inches, out of each corner, squares of side length 1 inch are cut…

A: Given that, A square whose side length is 5 in.Cut out a square from each corner whose side is 1…

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

A: Given,           The area of the largest rectangle that can be inscribed in a right triangle…

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

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

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Q: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 4. If one side must…

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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: 2. Find the area of the largest square that can be cut from a circle of radius of 4 in.

A: given,

Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular​ , with…

A: The problem can be pictorially depicted as below. The perimeter available is 2x+y.According to given…

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

A: The largest circle that fits in a square has the diameter = the side of the square.  Given that…

Q: What is the height of the isosceles triangle with the greatest area that can be inscribed in a…

A: In order to solve the given question first we need to find a function in terms of a variable and…