Figure

Figure A is a scale image of Figure B, as shown. (Figure A is 6 inches, and Figure B is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x

Correct answer:

x =  8 in

Step-by-step explanation:

$$\begin{gathered} a=6\text{in} \\ b=x \\ r=1:1\frac{1}{3}=1:\frac{4}{3}=1:\frac{4}{3}=1\cdot \frac{3}{4}=\frac{1\cdot 3}{4}=\frac{3}{4}=0.75=3:4 \\ r=a:b \\ x=a/r=6/\frac{3}{4}=6:\frac{3}{4}=6\cdot \frac{4}{3}=\frac{6\cdot 4}{3}=\frac{24}{3}=8\text{in} \end{gathered}$$

Try another example