A field next to a building needs to be enclosed by a fence. A total of 500 feet of fencing is available with the building side not needing fencing. Determine the dimensions of the field that will enclose the largest area. You must verify your result. Building

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A: Given:A farmer plans to use 180 feet of fencing to enclose a rectangular region, using part of a…

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A: The total length of fence is 148ft.

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A: Consider the given information about the rectangle:

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A: Let length, L of rectangle = (x) mLet width, B of rectangle = (y) m Perimeter of rectangle =…

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

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A: Solution:- Area of rectangle=100   Let assume Length of rectangle=x breath of rectangle=y   Area of…

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A: First we assume that the length and width of the rectangle is x and y respectively.Then we formulate…

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A: Let the perimeter of equilateral triangle be P of side a.Let the circumference of circle be C with…

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

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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

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A: Suppose, L is the length and  W is the width of the rectangular field. Then  Area A=L×W But, area is…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.