Question

Compute the scale factor, as a percent, for each given relationship. When necessary, round your answer to the nearest tenth of a percent. 2 1.60 In 3.36 in a. Drawing 1 to Drawing 2 Drawing 2 to Drawing 1 Blank 1: Blank

Answer 1

Answer:

$\begin{gathered} (a)\rightarrow\frac{S_1}{S_2}=0.48\rightarrow48\text{ \%} \\ \\ (b)\rightarrow\frac{S_2}{S_1}=2.1\rightarrow210\text{ \%} \end{gathered}$

Explanation: We are given two figures that are essentially similar, but one is scaled up, we need to find out the scale factor.

Two same given sides are:

$\begin{gathered} S_1=1.60in \\ S_2=3.36in \end{gathered}$

(a) Drawing 1 to Drawing 2:

$\frac{S_1}{S_2}=\frac{1.60}{3.36}\approx0.48$

In percent would be:

$0.48\times100=48\text{ \%}$

(b) Drawing 2 to Drawing 1:

$\frac{S_2}{S_1}=\frac{3.36}{1.60}=2.1$

In Percent would be:

$2.1\times100=210\text{ \%}$