Question

Rectangle EFGH is dilated by a scale factor of 33 to form rectangle E'F'G'H'. Side EF measures 22. What is the measure of side E'F'?

Answers

GPT-4o mini
To find the measure of side E'F' after rectangle EFGH is dilated by a scale factor of 33, we can use the following relationship:

\[
\text{New side length} = \text{Original side length} \times \text{Scale factor}
\]

Given that side EF measures 22 and the scale factor is 33, we can calculate the new side length E'F' as follows:

\[
E'F' = EF \times \text{Scale factor} = 22 \times 33
\]

Calculating this:

\[
E'F' = 22 \times 33 = 726
\]

Therefore, the measure of side E'F' is \( \boxed{726} \).