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

Step-by-step 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} (1)/(4)=(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 \\ (1)/(4)=(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