Answer:
The length of the rectangle is 7.5 cm.
Step-by-step explanation:
Given that,
The width of the rectangle, [tex]L=6\dfrac{1}{5}\ cm=\dfrac{31}{5}\ cm[/tex]
The area of the rectangle, [tex]A=46\dfrac{1}{2}\ cm^2=\dfrac{93}{2}\ cm^2[/tex]
We need to find the length of the rectangle. The formula for the area of a rectangle is given by :
A = LB
Put all the values,
[tex]L=\dfrac{A}{B}\\\\L=\dfrac{\dfrac{93}{2}}{\dfrac{31}{5}}\\\\L=7.5\ cm[/tex]
So, the length of the rectangle is 7.5 cm.