Challenge Level

To get a side length of 12,

- the side of length 3 could be enlarged by a scale factor of 4

or - the side of length 4 could be enlarged by a scale factor of 3

or - the side of length 6 could be enlarged by a scale factor of 2

The perimeter of triangle A is 3 + 4 + 6 = 13, so the possible perimeters of triangle B are:

12 + 16 + 24 = **52** (following an enlargement by a scale factor of 4)

or

9 + 12 + 18 = **39** (following an enlargement by a scale factor of 3)

or

and 6 + 8 + 12 = **26** (following an enlargement by a scale factor of 2)

You can find more short problems, arranged by curriculum topic, in our short problems collection.