Changing Lots - Algebra Worksheets

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Name:____________________________Date:____________Period:_______
Changing Lots
Part I. Investigating Changes
From our previous studies, we know we can determine the area of a given rectangle
or square by multiplying the length and width. We have also determined that the
lot with the maximum area would be a square. Let’s investigate what happens to
the area if we are allowed to buy or sell additional pieces of land that are adjacent
to the land we already own.
x
x
2
Changed
Original
x
x
Lot
Lot
1. What are the dimensions of the original lot?
2. Write an equation to find the area of the original lot.
3. What are the dimensions of the changed lot?
4. Write an equation to find the area of the changed lot.
5. How much greater is the area of the changed lot compared to the original lot?
6. Graph your equations from #2 and #3 on your calculator. Describe the
difference in the two graphs. Be sure to include notions such as parameter
changes, vertex, minimum/maximum, roots, etc.
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SATEC/Algebra II/Quad F’ns/Mechanics of Quads/3.03.07 Changing Lots/Rev. 07-01
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