ANSWER:
70%
Explanation:
Given:
Total area = 320 square feet
Purple area = 96 square feet
The first thing is to calculate the pink area, subtracting the purple area from the total area, just like this:
![\begin{gathered} A_{\text{pink}}=A_(total)-A_(purple) \\ \text{ We replacing:} \\ A_{\text{pink}}=320-96 \\ A_{\text{pink}}=224ft^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wiao34ojmiwex12lp40m0ijgafiosfq2j2.png)
Now, we can calculate the percent of the room that is pink by dividing the pink area by the total area, then multiplying by 100, like this:
![\begin{gathered} p=(224)/(320)\cdot100 \\ p=0.7\cdot100 \\ p=70\% \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3oemfkjjd8pfovut1ilxwbl0onxxxkefhg.png)
Which means that the pink air represents 70% of the room