A children's book has dimensions 20 cm by 24 cm.


What scale factor should be used to make an enlarged version that has dimensions 25 cm by 30 cm?

A5
B1.5
C1.25
D0.8

Verified Answer :

C1.25

25/20 = 1.25
30/24 = 1.25

Thus, it is a scale of 1.25

Answer:

We should use C. 1.25

Step-by-step explanation:

We know that the children's book dimensions are 20 cm x 24 cm

We need to find a scale factor (which is a number) that will turn the dimensions 20 cm x 24 cm ⇒ 25 cm x 30 cm

We can write :

(20 cm) . a = 25 cm

Where ''a'' is the scale factor.

Solving for a :

\((20cm).a=25cm\\a=\frac{25cm}{20cm}=1.25 \\a=1.25\)

This result is reasonable because the scale factor won't have units

A scale factor of 1.25 turns 20 cm ⇒ 25 cm

We can use the another dimension to verify :

(24 cm) . a = 30 cm

(24 cm) . (1.25) = 30 cm

30 cm = 30 cm

The scale factor is option C. 1.25