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Here are some lengths and widths of a rectangle whose perimeter is 20 meters.
Complete the table. What do you notice about the areas?
| length (meters) |
width (meters) |
area (square meters) |
|---|---|---|
| 1 | 9 | |
| 3 | 7 | |
| 5 | ||
| 7 | ||
| 9 |
On the coordinate plane, plot the points for length and area from your table.
Do the values change in a linear way? Do they change in an exponential way?
A blank graph, origin O, with a grid. Horizontal axis, length, meters, scale 0 to 15, by 3’s. Vertical axis, area, square meters, scale 0 to 30, by 5’s.
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Which statement best describes the relationship between a rectangle's side length and area, as represented by the graph?
As the side length increases by 1, the area increases and then decreases by an equal amount.
As the side length increases by 1, the area increases and then decreases by an equal factor.
As the side length increases by 1, the area does not increase or decrease by an equal amount.
As the side length increases by 1, the area does not change.
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