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Making it more or less­­­­­Observe these two figures. Is there any similarity or difference between the two? We notice that Both figures have Area 9 square units But, their perimeters are different Left figure Perimeter = 3 + 3 + 3 + 3 = 12 units Right figure Perimeter = 3 + 4 + 4 + 1 + 1 + 1 + 3 + 3 = 20 units Now, there are some questions Using 9 unit squares, solve the following. What is the smallest perimeter possible? What is the largest perimeter possible? Make a figure with a perimeter of 18 units. 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? Let’s solve them one by one Question 1 Using 9 unit squares, solve the following. What is the smallest perimeter possible? Question 2 Using 9 unit squares, solve the following. What is the largest perimeter possible? Question 3 Using 9 unit squares, solve the following. Make a figure with a perimeter of 18 units. Question 4 Using 9 unit squares, solve the following. 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?

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo