Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
To Find:
The dimensions of the rectangular plot when its’ area and perimeter are provided.
Formula Used:
The area
The perimeter of a polygon is the sum of the lengths of all sides of the polygon.
Calculation:
It is given that the rectangular garden plot that encloses an area of 48 yd2and the 28 yd of fencing are purchased to enclose the garden.
Fencing covers the rectangular plot. That gives the perimeter of the rectangular plot.
The area
The perimeter of a rectangular region is
Consider the equations,
It can be simplified as follows,
Substituting the value of
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