Final answer:
Andy's statement is incorrect because a square is a quadrilateral with four sides, while a triangle has only three sides. Moreover, the area of a square that has side lengths twice that of another square is four times larger.
Step-by-step explanation:
Andy's statement that a square and a triangle are both quadrilaterals is incorrect. A quadrilateral is defined as a figure with four sides and four angles. A square does indeed fit this definition as it has four equal sides and four right angles. On the other hand, a triangle has only three sides and three angles, with the sum of its angles adding up to 180 degrees. Therefore, a triangle is not a quadrilateral but is a completely different shape known as a polygon.
Marta's square scenario demonstrates a concept in geometry relating to areas of squares. If Marta has a square with a side length of 4 inches and a similar square with side lengths that are twice the first square, then the area of the larger square would be four times the area of the smaller square. The area of a square is calculated by squaring the length of one of its sides, so if the side length is doubled, the area will be the side length squared, which in this case is 4 times the original area.