Question

If AB = 5cm, what is the scale factor needed for DE to measure 22.8cm?

Answer 1

The scale factor needed to scale AB from 5cm to DE measuring 22.8cm is 4.56.

Step-by-step explanation:

If AB = 5cm, and we need to find the scale factor for DE to measure 22.8cm, we start by setting up a proportion. The scale factor is the ratio of the length of DE to the length of AB. In this case, we can write this ratio as:

scale factor = DE / AB

To find the scale factor, we divide the length of DE by the length of AB:

scale factor = 22.8 cm / 5 cm

scale factor = 4.56

Therefore, the scale factor needed for DE to measure 22.8cm when AB measures 5cm is 4.56.

Answer 2

The scale factor needed for DE to measure 22.8cm is 1.

Step-by-step explanation:

To find the scale factor needed for DE to measure 22.8cm, we can set up a proportion using the given information.

Given: AB = 5cm, DE = 22.8cm

Proportion: AB/DE = 5cm/22.8cm

To solve for the scale factor, cross-multiply and solve for DE:

5cm * DE = 22.8cm * AB

DE = (22.8cm * AB) / 5cm

Substituting the given value of AB = 5cm, we get:

DE = (22.8cm * 5cm) / 5cm

DE = 22.8cm

Therefore, the scale factor needed for DE to measure 22.8cm is 1.