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

Respuesta :

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:

[tex]\texttt{Width of rectangular picture frame}=4\frac{2}{3}inch[/tex]

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.

[tex]\texttt{Length of rectangular picture frame = }6\frac{1}{2}=\frac{6\times 2+1}{2}=\frac{13}{2}inch[/tex]

[tex]\texttt{Area of rectangular picture frame = }30\frac{1}{3}=\frac{30\times 3+1}{3}=\frac{91}{3}inch^2[/tex]

Area of rectangle = length x width

We have

  [tex]\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[/tex]

[tex]\texttt{Width of rectangular picture frame}=4\frac{2}{3}inch[/tex]

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