The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2. Find the width of the width
6 1/2 times something equals 30 1/3
divide 30 1/3 by 6 1/2, which equals 182/39
now simplify which equals 4 2/3
so the width is 4 2/3 inches.
Answer:
\(\texttt{Width of rectangular picture frame}=4\frac{2}{3}inch\)
Step-by-step explanation:
The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2.
\(\texttt{Length of rectangular picture frame = }6\frac{1}{2}=\frac{6\times 2+1}{2}=\frac{13}{2}inch\)
\(\texttt{Area of rectangular picture frame = }30\frac{1}{3}=\frac{30\times 3+1}{3}=\frac{91}{3}inch^2\)
Area of rectangle = length x width
We have
\(\frac{91}{3}=\frac{13}{2}\times \texttt{Width}\\\\\texttt{Width}=\frac{91}{3}\times \frac{2}{13}=\frac{14}{3}=4\frac{2}{3}inch\)
\(\texttt{Width of rectangular picture frame}=4\frac{2}{3}inch\)