Question

paul drew two poygons. one shape has 4 sides. the other shape has fewer than 4 sides. what could be the two shapes paul drew?​

Answer 1

The shapes Paul drew could be a quadrilateral (like a square or rectangle) and a triangle, since a triangle has fewer than four sides. Regarding Marta's squares, the area of the larger one is four times that of the smaller one.

Step-by-step explanation:

Paul drew two polygons. The first shape, with four sides, is likely a quadrilateral, and the simplest form of a quadrilateral is a square or a rectangle. The other shape has fewer than four sides, which means it could either be a triangle (which has three sides) or a line segment, which is not typically referred to as a polygon but is a shape with just two endpoints and no area.

Regarding the reference information: Marta has a square with a side length of 4 inches. If she has a similar square with dimensions that are twice as large, this means the side length of the larger square is 8 inches. To determine how the area of the larger square compares to the area of the smaller square, we calculate the area of each. The area of a square is the side length squared. So for the smaller square, the area is 4 inches × 4 inches = 16 square inches. For the larger square, it's 8 inches × 8 inches = 64 square inches. Thus, the larger square has an area that is four times the smaller square's area (64 square inches is four times larger than 16 square inches).

The example about the circle fitting within a square of 2 meters on a side, making its area less than 4 square meters, is demonstrating that a shape within another shape will have a smaller area than the larger, encompassing shape.

Answer 2

Paul drew a triangle and a quadrilateral

Step-by-step explanation:

* At first lets revise the definition of a polygon

- A polygon is a 2-dimensional figure formed with at least

3 straight sides

- Examples:

* Triangles are polygons with 3 sides

* Quadrilaterals are polygons with four sides

Trapezoid , parallelogram , rectangle , rhombus , square , kite

* Pentagons are polygons with 5 sides

* Hexagons are polygons with 6 sides

- Now lets solve the problem

∵ Paul drew a polygon with 4 sides

∵ The quadrilateral is a polygon with 4 sides

∴ He drew a quadrilateral

∴ He could draw one of these shapes:

Trapezoid OR parallelogram OR rectangle OR rhombus OR square

OR kite

∵ Paul drew a polygon which has fewer than 4 sides

∵ The least number of the sides of the polygon is 3

∴ He drew a polygon with 3 sides

∵ Triangle is a polygon with 3 sides

∴ He drew a triangle

* Paul drew a triangle and a quadrilateral