A middle school teacher brings in 15 tiles in her classroom and gives the following instruction: "Arrange 15 tiles in all possible rectangular arrays." Which of the following concepts can be taught through this activity Choose the correct option.?

Option 2 : Area, factors, perimeter

Area and perimeter are one of the important topics of mathematics which also is applied in real life, so this should be taught through real-life situations only like in the above example.

• Area:- Here the teacher gives 15 tiles to the students and asks them to arrange them in all possible rectangular ways here the concept of the area can be taught, for example, if the students arrange 5 tiles in three rows then the length becomes 5 and breadth becomes 3 so area = length * breadth = 5*3 =15
• Perimeter is the addition of all sides of a figure so if the students arrange all 15 tiles in a single row here length becomes 15 and breadth becomes 1 so perimeter = 15+1+15+1 = 32
• Factors:- Here everything is about distributing 15 into its factors so that different lengths and breadths are found like 15*1, 5*3, 3*5, 1*15, etc.

Hence Area, factors, and perimeter can be taught through the above example. Moreover, a tile is a 2D object. A 2D shape is a figure that has only length and height as its dimensions. Because 2D shapes lie on a flat surface, they are also known as plane figures or plane shapes. While they have areas, 2D shapes have no volume. Apart from length and height, a 3D shape also has width or depth as its third dimension.