A rectangular plot of farm three sides by a single-strand electric fence. With the largest area you can enclose, and what are its The maximum area of the rectangular plot is Tho Jength of the shorter side of the rectangular p octangular p

Q: A piece of wire 110 meter long is cut into two. One piece of length z is bent into a circle while…

A: Xmin = 2420/29, For detail go through the solution...I have done in detail step by step

Q: A rectangle has a perimeter p cm. Determine the length and breadth of the rectangle when its area is…

A:

Q: A waterway in a theme park has a semicircular cross section with di ameter 11 ft. The boats that are…

A: The equation of the circle can be obtained using the formula x-a2+y-b2=r2. Here, a, b is the center…

Q: A rectangular tank with a square base, an open top, and a volume of 32ft^3 is to be constructed of…

A: Let side of square base be x ft and height be y ft Given, Volume=32 ft3 X2y = 32, y = 32/x2 – i)…

Q: Maximum Area for Fixed Expenditure Because of terrain dif- ficulties, two sides of a fence can be…

A: Let the length = x ft   width = y ft   Let, length costs $6 per ft, width costs $4 per ft   So…

Q: 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first…

A: (1) Equation of a straight line passing through the point (x1,y1) is               y - y1 = m ( x -…

Q: 10. A rectangular box is to be made from 16m2 of cardboard. Use Lagrange multi- pliers to find the…

A: (10) Consider the provided question, Give that, rectangular box has to be made from 16 m2 cardboard.…

Q: total area of triangle and circle whic is obtained the maximum

A: Length of wire = 100 cm Diameter of circle = d cm

Q: 4. Steef has a summer job working at a campground. He is roping off a rectangular swimming area on…

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Q: An isosceles triangle has one vertex at the origin, with its other two vertices above the origin and…

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Q: A city is planning to replace one of its water storage tanks with a larger one. The city’s old tank…

A: we need formula for calculate the volume of cylinder:-

Q: The legs of a right triangle have lengths 3 cm and 4 cm, respectively. A rectangle is inscribed in…

A: This question can be solved using the concept of maxima and minima.

Q: A swimming pool has the shape of a right circular cylinder with radius 18 feet and height 10 feet.…

A:

Q: SHOW FULL SOLUTION. A semi-circle is placed on top of a rectangle such that the diameter of the…

A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

Q: DETAILS A rectangle is bounded by the x-axis and the semicircte y a9- (see fiqure). What length and…

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Q: Arectangular tank with a square base, an open top, and a volume of 13,500 ft° is to be constructed…

A:

Q: XYZ is an isosceles triangle with base YZ. YZ=5cm; Height of triangle=10cm. A square is put into t

A: Solution of the problem as follows

Q: OAA We have 27 m2 of material to make a box without a top. The base of the box should be a square…

A:

Q: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary…

A: 18=x+2y+12πx Total perimeter =(Perimeter of rectangular-x) +perimeter of circle2 9-12x-14πx=y  Area…

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 49 - x2. What…

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Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the…

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Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of…

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of…

Q: The figures show a rectangle, a circle, and a semicircle inscribed in a triangle bounded by the…

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Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: Sol

Q: A box with an open top has vertical sides, a square bottom, and a volume of 256 cubic meters. If the…

A: Solution: Let x is the base of the box Let y is the width of the box Let z is the height of the box…

Q: A Norman window has the shape of a rectangle with a semi circle on top; diameter of the semicircle…

A: In this question, we need to find the dimensions of Norman window of perimeter 200 inches.

Q: Maximizing Area A farmer has 1000 feet of fence to enclose a rectangular area. What dimensions for…

A: Let “x” and “y” be the dimension of the rectangular area, so the perimeter of the rectangular area…

Q: A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has…

A: Given: Total fencing is 2400 ft  We know that area of rectangle is length ×width

Q: Maximum Area Find the dimensions of the largest rectangle that can be inscribed in a semicircle of…

A: Largest rectangle

Q: David is building a play area for his kids. They are learning their shapes and h wants it to be an…

A: We are asked to find the area of the triangle

Q: Lagrange Multiplier to find the dimensions of a rectangular having Use a perimeter 144m. and Maximum…

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Q: 1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year,…

A: 1) Given: Last year store sold 600 caps at $12 each. Revenue of last year=600×12=$7200 As per the…

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

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Q: A swimming pool has the shape of a right circular cylinder with radius 29 feet and height 10 feet.…

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Q: A rectangular area is enclosed by 188 feet of fencing. What dimensions will maximize the fenced…

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Q: 53. Suppose that a family wants to fence in an area of their yard for vegetable garden to keep out…

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Q: that yield the maximum amount of area for the pasture. (c) Find the dimensions that yield the…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 64 – x2. What…

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Q: A cylindrical package to be sent by a postal service can have a maximum combined length and girth…

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Q: 22)) Two corners y = 36- x ^ 2 parabola and two other corners x-axis The area of the rectangles to…

A: the two corners on the parabola y=36-x2 and the other two corners on the x-axis. we have to find the…

Q: A rectangular package to be sent by a postal service can have a maximum combinedlength and girth…

A: The package's dimensions are x by x by length y. Given condition, a maximum combined length and…

Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two…

A: The figure is given by To evaluate: The value of x such that the volume of the box is maximum.

Q: Maximum Area A rectangle is bounded by the x-axis and the semicircle y = √25 − x2 (see figure). What…

A: The given equation is y=25-x2. We know the area of the rectangle is A=length×width. From the given…

Q: Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 8…

A: The rectangular material with dimension 8×7 is given to make a box. From each corner, the square of…

Q: Maximizing Area A rectangular pen for a pet is under construction using 100 feet of fence. (a) Find…

A: The perimeter is 100 feet. Let x & y be the length and width of the rectangular pen…

Q: popcorn box is created from a 18"x 13" sheet of paperboard by first cutting out four shaded…

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Q: 3. Triangle ABC is a right-angled triangle at Cand its area is 50m A rectangle is placed in this…

A: Given Triangle ABC is a right angle triangle at C and area of triangle=50m2and a rectangle is placed…

Q: . A rectangle with base on the r axis has its upper vertices on the curve y = (a) Find the maximum…

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Q: Question Using the side of a building as one side and fencing for the other three sides, a…

A: Perimeter of rectangular garden with three sides = 2x+y⇒Perimeter=2x+y148=2x+y⇒y=148-2x…