32.8k views
4 votes
Question 4(1 point) If the original is 12 units and the scale factor is 25% what is the size of the scale drawing?

1 Answer

4 votes

a)3

Step-by-step explanation

The scale factor is the number that determines whether the new drawing is an enlargement or a

reduction of the original. If the scale factor is greater than 100%, then the resulting drawing is an

enlargement of the original drawing. If the scale factor is less than 100%, then the resulting drawing is

a reduction of the original drawing

a scale factor of 25 % means the new deawing will be 25 % of the original

then

Step 1

a)let x represents the escale factor

so

if


12\rightarrow100\text{ \%}

then


x\rightarrow25\text{ \%}

b) make the proportion


(12)/(100)=(x)/(25)

c) finally, solve for x


\begin{gathered} (12)/(100)=(x)/(25) \\ \text{cross multiply} \\ 12\cdot25=100\cdot x \\ 300=100x \\ \text{divide both sides by 100} \\ (300)/(100)=(100x)/(100) \\ 3=x \end{gathered}

so, the answer is 3

I hope this helps you

User Pedro Luz
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories