First, we need to find the area of the wall. The formula we use is A=bh. For this problem, b = 16 1/5 ft and h = 8 1/3 ft. Plug the given information into the equation like so:
[tex]A= 16 \frac{1}{5} *8 \frac{1}{3} \\ A= ( \frac{16*5}{5}+ \frac{1}{5})*( \frac{8*3}{3}+ \frac{1}{3}) \\ A= ( \frac{80}{5}+ \frac{1}{5})*( \frac{24}{3}+ \frac{1}{3}) \\ A= \frac{81}{5}* \frac{25}{3} \\ A= \frac{81*25}{5*3} \\ A= \frac{2025}{15} \\ A= 135 [/tex]
From this, we know the area of the entire wall is 135 sq ft.
To find out how much was painted, we multiply the total area by the ratio painted:
[tex] \frac{1}{3}*135 \\ \frac{135}{3} \\ 45 [/tex]
45 square feet of the wall was painted blue.
Hope this helps!
