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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Triangle Island

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Hugo sent us pictures of his solution. Well done, Hugo!

I know that the area of a triangle is given by the forumula \[ \frac{1}{2} \times base \times height.\] The original triangle has base $1$ and height $1$, so as long as each triangle on the way also has base $1$ and height $1$ the area will stay the same".

Starting positionAfter step 1After step 2After step 3After step 4After step 5After step 6After step 7After step 8After step 9After step 10