Facts 12 inches = 1 foot

5280 feet = 1 mile

Calculation Find the scale factor first.

Nick says 64 feet is equivalent to 3.2 miles

64 feet is equivalent to 3.2 x 5280 feet

1 foot is equivalent to 3.2 x 5280 / 64 feet

1 is equivalent to 264

Scale factor is 1 : 264

Question 1 Nick is 1/4 inches tall

Nick is 1/4 x 264 inches

Nick is 1/4 x 264 / 12 feet tall

Nick is 5.5 feet

Question 2 Butterfly has a wingspan of 42 feet

42 feet is equivalent to 42 / 264 feet

42 feet is equivalent to 42 x 12 / 264 inches

42 feet is equivalent to 1.909 inches

42 feet is equivalent to 1.91 (dp) inches

Is this about right for the wingspan of a butterfly?

If it is the Nick's calculation is correct.

Question 3 Honey, I Shrunk the Kids!