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# Smaller Rectangles within a Larger Rectangle

## The maximum number of smaller rectangles - or squares - within a larger rectangle (or square).

The calculator below can be used to estimate the maximum number of smaller rectangles - or squares - that may fit into a larger rectangle or square. The calculator can be used to calculate applicatons like

• the number of bricks in a wall
• the number of rectangular cuts possible from a steel or plywood plate

Input the large rectangle inside dimensions - and the outside dimensions of the smaller rectangles.

Default values are for 0.5 x 0.8 inch rectangle inside a 10 inch x 10 inch square. The calculator is generic and all units can be used - as long as the same units are used for all values.

### Rectangular Pattern

Note! - the algorithm used for this tool is quite simple. Be aware that for some combinations of values more rectangles can be added by rearranging the layout.

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## Citation

• The Engineering ToolBox (2018). Smaller Rectangles within a Larger Rectangle. [online] Available at: https://www.engineeringtoolbox.com/smaller-rectangles-within-larger-rectangle-d_2111.html [Accessed Day Month Year].

Modify the access date according your visit.

4.19.9

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