Question

What is the name of the closed figure with four sides?
A.Hexagon
B.Triangle
C.Pentagon
D.Quadrilateral

Answer 1

Hint: In this question, we need to comment on the name of the mathematical figure that has four sides. For this, we will overview the shape of the physical and compare it with the defined mathematical figures.

Complete step-by-step answer:

In mathematics, there are certain mathematical figures which are pre-defined according to their number of sides and shapes. So, here we will check all the options one by one to get our result.
A polygon is a plane figure which is described by a fixed number of lines connected together to form a closed mathematical shape.
Hexagon is a polygon containing six sides connected together to form a closed mathematical shape. The total internal angle of the hexagon is 720 degrees.
Triangle is a polygon containing three sides connected together to form a closed mathematical shape. The total internal angle of the triangle is 180 degrees.
Pentagon is a polygon containing five sides connected together to form a closed mathematical shape. The total internal angle of the pentagon is 540 degrees.
Quadrilateral is a polygon containing four sides connected together to form a closed mathematical shape. The total internal angle of the quadrilateral is 360 degrees.
Hence, the quadrilateral is the mathematical shape that has four sides.

So, the correct answer is “Option D”.

Note: There are many types of quadrilaterals defined in mathematics such as square, rectangle, parallelogram, rhombus, trapezium, etc. However, it is interesting to note that the sum of the internal angles of all the quadrilaterals is equals to 360 degrees.