Benjamin is making patterns using his baby brother’s shape tiles. He placed one rectangular tile followed by two triangular tiles and then one square tile in a line. He repeated this until eight tiles were placed. How many square tiles did Benjamin use?
This is a long question. So first let’s highlight the key information. Benjamin is making a shape pattern. The first shape in his pattern is a rectangular tile. After his rectangular tile, we’ve got our two triangular tiles. And the last tile that he placed was a square tile. There are a total of four shapes in Benjamin’s pattern.
We know that Benjamin repeated his pattern until he had eight tiles. We know that four times two is eight which means that Benjamin had two groups of his patterns. So Benjamin repeated his pattern. He had four and then added four more until they were eight.
The question asks us, how many square tiles Benjamin used? We know that each pattern had four shapes. And Benjamin repeated it. His original pattern contained one square. So by repeating his pattern, Benjamin used two squares. The answer to the question is two. Benjamin used two square tiles in his repeated pattern.