An isosceles triange is to be drawn with its two equal sides of length 10. What is the maximum possible area of the triangle?

Q: Consider the triangular plate shown in the accom- panying sketch. How must a total mass of 1 kg be…

A: given

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: 3.) A fencing is limited to 50ft length. What is the maximum rectangular area that can be fenced in…

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Q: A triangle has variable sides x, y, and z subject to the constraint such that the perimeter is fixed…

A: Given that , The sides of triangle are x,y and z and perimeter = 18 cm ⇒x+y+z=18  Find maximum…

Q: A Norman window, consisting of a semicircle surmounting a rectangle, has a fixed perimeter P. Find…

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Q: Prove (via geometry) that the area of a cyclic quadrilateral is the maximum possible for any…

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Q: For a paraboloid with two sheets, how do you find the shortest distance between the sheets in a…

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Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: Two sides of a triangular lot measure 14 cm each. What is the maximum possible area of the triangle?

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Q: A gutter having a triangular cross section is to be made by bending in the middle of a strip of…

A: Here is the solution of the given problem.

Q: A rectangle is inscribed in a semicircle of radius R so that one side of the rectangle lies along a…

A: To find the largest possible perimeter

Q: composed

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Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

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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: Of all boxes with square base and a volume of 512 cm, which one has the minimum surface area? (Give…

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Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 12…

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Q: A box with no top and a square base has to be designed so that its volume must 108 cm³. Find the…

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Q: what is the minimum possoble perimeter for a rectangle whose area is 100 in^2

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Q: What is the maximum area of a rectangle inscribed in a right triangle with legs of length 3 and 4 as…

A: Given: Formula used: The area of a rectangle is length * width.

Q: A rectangular box has a square base. If the sum of the height and the perimeter of the square base…

A: Explanation of the answer is as follows

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î +2j-7k…

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Q: A closed, rectangular-faced box with a square base is to be constructed using only 16 m² of…

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Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

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Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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: a

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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

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Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

Q: A poster must have 32 sq. in with margins of 4" each at t side. Find the dimensions o"

A: Given: A poster must have 32 sq. in. of printed matter.

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

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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: A company that manufactures dog food wishes to pack the food in closed cylindrical tins.  What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: A triangle is formed by the positive coordinate axes and a straight line through (6,3) . How large…

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Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

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Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: If 1200 cm2 of material is available to make a box with asquare base and an open top, find the…

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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: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

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Q: Three sides of a trapezoid are 8 inches in length. How long must the fourth side be, so that the…

A: Given: Three sides of a trapezoid are 8 inches in length. Let the fourth side of trapezoid be 8+2x…

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

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

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

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Q: Of all rectangles with area 64, which one has the minimum perimeter?

A: It is required to find the dimensions of rectangle having area 64 units which will have a minimum…