Question

Use square tiles make as many different rectangles as you can with area 36 square units draw your rectangle on grid paper. Is 36 a perfect square? Justify your answer.

Answer 1

It could be, because a 6x6 square has an area of 36, and it is a perfect square.

Answer 2

You could make rectangles that measure 1 x 36 tiles, 2 x 18 tiles, 3 x 12 tiles, 4 x 9 tiles, or 6 x 6 tiles. As you can see by playing this game with the tiles, 36 is the square of 6. It's also the square of -6 .