Geometry Conundrums
Delve into a series of perplexing geometry scenarios involving rectangles and perimeters. Explore the concept of rectangles with specific perimeters, the number of squares they contain, and the limitations on odd perimeters. Ponder over the possibilities and intricacies of geometric shapes.
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Presentation Transcript
Which calculations will calculate the perimeter of this rectangle? 5 cm 5 cm 2 cm 2 cm b) 5 + 2 + 5 + 2 a) 5 + 2 c) 7 2 d) 5 2
Which calculations will calculate the perimeter of this rectangle? 5 cm 5 cm 2 cm 2 cm b) 5 + 2 + 5 + 2 a) 5 + 2 c) 7 2 d) 5 2
What is the perimeter of the rectangle? I think it s 52 cm I think it s 104 cm 5 cm 50 mm 2 cm You are both wrong. It is 7 cm You re all wrong. It is 14 cm Who is correct? Can you see what the others were thinking? Jack is correct. The perimeter is 14 cm.
Here is a rectangle with a perimeter of 16 cm 1 cm 1 cm 1 2 3 4 5 6 7 8 9 10 11 12 I wonder if every rectangle with a perimeter of 16 cm has 12 squares inside. Have a think
I wonder if every rectangle with a perimeter of 16 cm has 12 squares inside. 1 cm 1 cm 1 2 3 4 5 6 7 1 2 3 4 5 1 2 3 4 6 7 8 9 10 5 6 7 8 9 10 11 12 11 12 13 14 15 13 14 15 16
Have a think How many different rectangles can you draw with a perimeter of 18 cm? Which rectangle has the smallest number of squares inside? Which has the greatest number? What do you notice?
You cant draw a rectangle with an odd perimeter. 1 cm 3 cm 4 cm 7 cm 3 cm 3 cm 4 + 3 = 7 7 2 = 14 3 + 3 = 6 6 2 = 12 1 + 7 = 8 8 2 = 16 Is Tiny correct? Can you explain why? Have a think
You cant draw a rectangle with an odd perimeter. 4 1 2 cm 3 cm 4 1 2+ 3 + 4 1 2+ 3 = 15 I think I have found a way!
