Question

Parallelograms ABDC and EFHG are similar. If side AC equals 4 units, side AB equals 16 units, and side EG equals 32 units, what

is the length of side EF?

Answer 1

64

expiations

Smart I am

Answer 2

Remember that sides AC and EG will correspond. By finding the ratio of the lengths of these sides, we can find the length of EF.
The ratio of 4 to 16 simplifies to 1:4. This means that every side in ABDC is 1/4th of its corresponding side in EFHG. 16 times 4 is 64, so EF has a length of 64 units.