Question

Rectangle EFGH
is a scale drawing of rectangle ABCD.
Rectangle ABCD has a width of 4 & a length of 8. Rectangle EFGH has a width of 10 & a length of 20.

© 2018 StrongMind. Created using GeoGebra.

What is the scale factor?

Enter your answer as a fraction in simplest form, like this: 42/53

Answer 1

To find the scale factor between rectangles ABCD and EFGH, we can compare their corresponding dimensions (width and length).

For rectangle ABCD:
- Width = 4
- Length = 8

For rectangle EFGH:
- Width = 10
- Length = 20

Now, let's calculate the scale factor for both the width and the length.

1. For the width:
\[
\text{Scale Factor (width)} = \frac{\text{Width of EFGH}}{\text{Width of ABCD}} = \frac{10}{4} = \frac{5}{2}
\]

2. For the length:
\[
\text{Scale Factor (length)} = \frac{\text{Length of EFGH}}{\text{Length of ABCD}} = \frac{20}{8} = \frac{5}{2}
\]

Since both comparisons give us the same scale factor, we can conclude that the scale factor is:

\[
\frac{5}{2}
\]

Thus, the scale factor between rectangles ABCD and EFGH is \(\frac{5}{2}\).