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Squares in Rectangles printable worksheet
A $2$ by $3$ rectangle contains $8$ squares. Can you see how?
A $3$ by $4$ rectangle contains $20$ squares. Can you see how?
A $4$ by $6$ rectangle contains $50$ squares. Can you see how?
What size rectangle contains exactly $100$ squares?
Is there more than one?
Can you find them all?
Can you prove that there are no more?
Click here for a poster of this problem.
Can you work out the area of the inner square and give an explanation of how you did it?
With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.