Final answer:
Yes, a rectangle is a parallelogram with four right angles. When comparing the areas of two similar squares, where one has doubled side lengths, the area of the larger square will be four times that of the smaller.
Step-by-step explanation:
A rectangle is indeed a type of parallelogram, one with four right angles. This is correct because a parallelogram is a four-sided shape with opposite sides that are parallel, and a rectangle fulfills this criterion while also having the additional property of all angles being right angles (each measuring 90 degrees).
When considering similar figures, like two squares, if one has dimensions twice that of the other, then the area of the larger square is four times larger than the area of the smaller square. This is because the area is a function of the square of the side lengths, so if the side length is doubled, the area increases by a factor of 2 squared, which is 4. This demonstrates the principle that the ratio of areas of similar figures is the square of the scale factor between them.