When two figures are reassembled, which statement about their areas and perimeters is true?

When considering the properties of two figures being reassembled, it is essential to understand how area and perimeter relate to the shapes involved. In the context of option B, the statement asserts that the areas of the two figures are equal, while the perimeter of Figure 2 is greater than that of Figure 1.

This can be true depending on the geometrical properties and dimensions of the figures. Area is a measure of the two-dimensional space a figure occupies, and it can remain constant even when the shape of the figure changes, as long as the total area remains the same. On the other hand, perimeter is a measure of the total length of the edges of the figure. If one figure is reshaped into another of the same area, the total length of the edges can increase or decrease depending on how the shape is altered.

For instance, if Figure 1 is a rectangle and Figure 2 is reconfigured into a long, thin shape with the same area, it is possible that the perimeter of Figure 2 is greater than that of Figure 1 because the longer edges contribute more to the total perimeter. This scenario supports the notion that while the area remains equal, the perimeter can differ based on the configuration of the shape.

Therefore, the