A breeder of horses wants to fence two adjacent rectangular grazing areas along a river with 600meters of fence.

a. Write an expression for the total area, A, of the grazing land in terms of the width,
w, of the rectangle.

notice the picture below

the perimeter for both areas is w + w + w + l
since one part of the rectangle is covered by the river's edge

thus [tex]\bf \begin{cases} A=lw\\\\ P=3w+l\\\\ 600-3w=\boxed{l}\\ ----------\\ A=\left( \boxed{600-3w} \right)w \end{cases} \qquad \begin{array}{llll} A=\textit{area of a rectangle}\\ P=\textit{perimeter of a rectangle}\\ w=width\\ l=length \end{array}[/tex]

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A breeder of horses wants to fence two adjacent rectangular grazing areas along a river with 600meters of fence. a. Write an expression for the total area, A, of the grazing land in terms of the width, w, of the rectangle.

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A breeder of horses wants to fence two adjacent rectangular grazing areas along a river with 600meters of fence.

a. Write an expression for the total area, A, of the grazing land in terms of the width,
w, of the rectangle.