Draw and label all the rectangles with a perimeter of 24 units. Use only whole units.
What is true about the rectangle with the greatest area?
Apparently you haven't followed directions. If you'd drawn these rectangles, you'd know the answer.
To find all the rectangles with a perimeter of 24 units, we need to consider the possible combinations of side lengths that would add up to 24 units.
Let's list out the pairs of side lengths that add up to 24 units:
1. 1 unit, 11 units
2. 2 units, 10 units
3. 3 units, 9 units
4. 4 units, 8 units
5. 5 units, 7 units
6. 6 units, 6 units
Now, we can draw these rectangles and label them.
1. Rectangle with side lengths of 1 unit and 11 units:
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2. Rectangle with side lengths of 2 units and 10 units:
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3. Rectangle with side lengths of 3 units and 9 units:
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4. Rectangle with side lengths of 4 units and 8 units:
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5. Rectangle with side lengths of 5 units and 7 units:
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6. Rectangle with side lengths of 6 units and 6 units:
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Now, let's determine which rectangle has the greatest area:
1. Rectangle with side lengths of 1 unit and 11 units:
Area = Length * Width = 1 unit * 11 units = 11 square units
2. Rectangle with side lengths of 2 units and 10 units:
Area = Length * Width = 2 units * 10 units = 20 square units
3. Rectangle with side lengths of 3 units and 9 units:
Area = Length * Width = 3 units * 9 units = 27 square units
4. Rectangle with side lengths of 4 units and 8 units:
Area = Length * Width = 4 units * 8 units = 32 square units
5. Rectangle with side lengths of 5 units and 7 units:
Area = Length * Width = 5 units * 7 units = 35 square units
6. Rectangle with side lengths of 6 units and 6 units:
Area = Length * Width = 6 units * 6 units = 36 square units
From the calculations, we can see that the rectangle with side lengths of 6 units and 6 units has the greatest area, which is 36 square units.
Therefore, the statement that is true about the rectangle with the greatest area is that it has a total area of 36 square units.