Question

1. you need to do a reduction of a picture that is 72cm by 24cm.

a) what are the dimensions of a reduction with a scale factor of $\frac{1}{4}$?
b) what are the dimensions of a reduction with a scale factor of 0.55?

Explanation:

Step1: Calculate new dimensions for part a

When reducing a figure, we multiply each dimension by the scale factor.
For the length \(72\) cm: \(72\times\frac{1}{4}\)
For the width \(24\) cm: \(24\times\frac{1}{4}\)

Step2: Calculate new dimensions for part b

For the length \(72\) cm: \(72\times0.55\)
For the width \(24\) cm: \(24\times0.55\)

Answer:

a)
Length: \(72\times\frac{1}{4} = 18\) cm
Width: \(24\times\frac{1}{4}=6\) cm
b)
Length: \(72\times0.55 = 39.6\) cm
Width: \(24\times0.55 = 13.2\) cm