Grades 5-6 Video Solutions 2023-2023_1-2

Video Transcription

Question 12. The potters have a patio which is tiled with square tiles of three different sizes. The smallest squares have a perimeter of 80 centimeters.  A snake rests on the patio as shown in the diagram. What is the length of the snake?  Let's draw out the patio and then the snake which is laying on the patio in red. Now, since we know that the smallest of the squares has a perimeter of 80 centimeters,  and since it is a square, each side will have an equal length. 80 divided by 4 will give us 20 on each side.  With this information, we can start to figure out the sizes of the other tiles. Since this is 20, and this tile is also 20,  we know that this medium tile will have a side length of 40. And, since this is 40 and this small tile is 20, we know that the biggest tile will have a side length of 60.  With this knowledge, we can start marking off each of the tile edges that the snake is laying on top of.  Once we have this number, we simply just need to get the sum of all of the lengths, which will look like so. When we simplify this, we will eventually get 120 plus 180 plus 120,  which will lead us to our solution, which will be C, 420 centimeters.

Video Summary

The problem involves calculating the length of a snake resting on a patio tiled with square tiles of different sizes. The smallest tile, with a perimeter of 80 cm, has a side length of 20 cm. The medium tile has 40 cm sides, and the largest has 60 cm sides. By tracing the path of the snake over these tiles, covering a length of tiles measuring 120 cm, 180 cm, and 120 cm, we find the total length of the snake is 420 cm.