Big B Little B
Geometry
Level
1
How many
little-b blocks
will fit inside a
big-b block
?
Details and assumptions:
- You may: rotate, reflect, and translate the little-b blocks on the plane in order to fit them inside the big-b block.
- You may not: overlap little-b blocks or use little-b blocks so that they overflow the perimeter of the big-b block
8
4
5
2
3
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1 solution
4 fit!
You might also guess this because the area of the big B is ( 4 × 6 ) − 4 = 2 0 and the area of a small B is 5.
Or, you might recognize that for any 2-dimensional figure, if the shape is scaled such that perimeter is doubled, as pictured in the problem, the area is quadrupled.