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Chase has 40 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 168 square meters. List each set of possible dimensions (length and width) of the field.

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Final answer:

To find the possible dimensions of the rectangular plot, use the perimeter and area equations to solve for length and width.

Step-by-step explanation:

To find the possible dimensions of the rectangular plot, we need to consider that the perimeter of the three sides of the fence is equal to 40m. Let's assume the length of the plot is L and the width is W.

The perimeter of the rectangular plot is given by the formula: 2L + W = 40. Since we know the area of the plot is 168m², we can also write the equation: L * W = 168.

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