### Home > MC2 > Chapter 9 > Lesson 9.3.2 > Problem9-91

9-91.

If you have $24$ square tiles, how many different rectangles can you make? Each rectangle must use all of the tiles. Sketch each rectangle on graph paper and label its length and width. Can you make a square with $24$ tiles? .

Think of all the factor pairs of $24$ that could make up the dimensions of this rectangle.
For example, 1 · 24.
How many different rectangles can you make based on the number of factor pairs you came up with?

Experiment with the tiles below to create as many rectangles as you can with $24$ square tiles using the grid as a reference.
Can you make a square even if $24$ does not have a whole square root ?

Use the eTool below to create rectangles with an area of $24$ tiles.
Click on the link at right for the full eTool version: MC2 9-91 HW eTool