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Can a shape have the perimeter numerically twice the size of the area?
Yes it can. Because Area is EVERYTHING! And perimeter is only the outside.
Can a shape have an perimeter numerically twice the size of the area?
Some do: a square 2 units on a side, for example, has area 4 units, perimeter 8.
Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
Does a shape with a smaller perimeter always have a smaller area?
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
What is the shape for a figure to have a perimeter of 20 and an area of 18?
Perimeter and area are not sufficient to determine the shape of a figure.
