# Square to L

Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.

## Problem

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Find a way to cut a $4$ by $4$ square into only two pieces, then rejoin the two pieces to make an L shape, $6$ units high.

## Student Solutions

Cassandra (from Cambridge) and Josh (from Bedfordshire) both say to cut out the top right quarter of the square and put them on top.

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Audre (from Singapore) says to "Split the square in half horizontally or vertically then join them''.

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Arthur (from Cambridge) found a different way: "In the top right corner, cut a row of 3 joined to a row of 2 underneath. Flip it over and join it to the top''.

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Are there more ways to do it??

If you've gone further with pupils then you might like to see these results.

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## Teachers' Resources

### Why do this problem?

This activity
is an accessible piece of spatial-awareness work and will encourage
children to visualise.

### Possible approach

Each child should be given the opportunity to start this with
some practical resources, for example paper, card, plastic squares
etc.

### Key questions

How are you finding your solutions?

Show me how the cut-off piece fits so that we get an "L"
shape.

### Possible extension

Try other even-sized squares - and afterwards look at the
Solutions !

Some pupils may like to have a go at 'near' solutions that do
not work, saying precisely why they do not.