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![Removed Square Problems (5 × 3 grid) - with Questions [Class 7 Maths] - Tiling](https://cdn.teachoo.com/4a9079b4-092f-4933-9707-b88e4f8c7400/slide29.jpg)
Removed Square Problems (5 × 3 grid)
Last updated at February 6, 2026 by Teachoo
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 6 Class 7 - Constructions and Tilings (Ganita Prakash II)
- Constructing an Eye
- Constructing a Perpendicular Bisector
- Constructing angle 90°
- Construction Methods in Śulba-Sūtras
- Constructing Angle Bisectors
- Figure it out - Pag 144, 145
- Constructing Copy of an Angle
- Construction of a Line Parallel to the Given Line
- Constructing Arch Designs
- Constructing Regular Hexagon, Angle 60° and 6-pointed Star
- Figure it out - Pag 154, 155
- Tangrams
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Tiling
- Figure it out - Page 160
- Tiling the Entire Plane
Transcript
Removed Square Problems (5 × 3 grid)We answer this question Here is a 5 × 3 grid, with a unit square removed. Now, it has an even number of unit squares. Is it tileable with 2 × 1 tiles? The grid has 15 squares. Remove 1 = 14 squares. This is even, so it might be possible. For this image, it is possible But, let’s modify the image Is the following region tileable with 2 × 1 tiles? Now, if we try this – our region is tileable Now, let’s answer this Is the following region tileable with 2 × 1 tiles? If we tile it, it would be like So, we are missing two tiles Thus, our region is not tileable So, the even area rule is not complete To understand how to do this, we have to look at the grid not as a blank shape, but as a checkerboard.
