Can you make other shaped figures for each of the above three perimeters, or is there only Class 6

Can you make other shaped figures for each of the above three perimeters, or is there only Class 6

Question 1.

Can you make other shaped figures for each of the above three perimeters, or is there only one shape with that perimeter? What is your reasoning? Class 6

Solution:

For each of the above three perimeters, we can make other shaped figures. For example, for a perimeter of 20 units, we can have the following two shapes :

Question 2.

Let’s do something tricky now! We have a figure (given in textbook) having perimeter 24 units. Class 6

(i) Without calculating all over again, observe, think and find out what will be the change in the perimeter if a new square is attached as shown on the right.

(ii) Experiment placing this new square at different places and think what the change in perimeter will be. Can you place the square so that the perimeter:

(a) increases

(b) decreases

(c) stays the same?

Solution:

(i) Perimeter will not change. It will remain 24 units.

(ii) (a) Yes, (b) Yes, (c) Yes.