24 cm x 32 cm
Explanation
Step 1
so, we need to convert the original length is the scaled measure,let
[tex]1\text{ ft }\rightarrow4\text{ cm}[/tex]then
[tex]8\text{ ft}\rightarrow x[/tex]as the proportion is the same.
[tex]\begin{gathered} \frac{1}{4}=\frac{8}{x} \\ \text{cross multiply} \\ x\cdot1=8\cdot4 \\ x=32\text{ cm} \end{gathered}[/tex]hence, the length of the rug is 32 cm in the paper
Step 2
now, the width
[tex]\begin{gathered} 1\text{ ft}\rightarrow4\text{ cm} \\ 6\text{ ft}\rightarrow y \\ \frac{1}{4}=\frac{6}{y} \\ \text{ctross multiply} \\ 1\cdot y=6\cdot4 \\ y=24\text{ cm} \end{gathered}[/tex]hence, width is 24 cm,
so the dimensions of Priscilla's drawing are
24 cm x 32 cm
i hope this helps you
