Question

The dimensions of an ancient Egyptian rug are 6 feet by 8 feet. Priscilla iscreating a drawing of the rug with the scale 4 cm = 1 ft. What are the dimensionsof Priscila's drawing in cm?*24 cm x 32 cm7 cm x 2 cm10 cm x 9 cm12 cm x 16 cm

Answer 1

24 cm x 32 cm

Explanation

Step 1

so, we need to convert the original length is the scaled measure,let

$1\text{ ft }\rightarrow4\text{ cm}$

then

$8\text{ ft}\rightarrow x$

as the proportion is the same.

$\begin{gathered} \frac{1}{4}=\frac{8}{x} \\ \text{cross multiply} \\ x\cdot1=8\cdot4 \\ x=32\text{ cm} \end{gathered}$

hence, the length of the rug is 32 cm in the paper

Step 2

now, the width

$\begin{gathered} 1\text{ ft}\rightarrow4\text{ cm} \\ 6\text{ ft}\rightarrow y \\ \frac{1}{4}=\frac{6}{y} \\ \text{ctross multiply} \\ 1\cdot y=6\cdot4 \\ y=24\text{ cm} \end{gathered}$

hence, width is 24 cm,

so the dimensions of Priscilla's drawing are

24 cm x 32 cm

i hope this helps you