Answer:
[tex]l=6\dfrac{1}{2} \ \text{inches}[/tex]
Step-by-step explanation:
Given that,
The width of the rectangular plate = [tex]4\dfrac{5}{8}=\dfrac{37}{8}\ \text{inches}[/tex]
The area of a rectangular plate = [tex]30\dfrac{1}{16}=30.0625\ in^2[/tex]
We know that, the area of a rectangular is given by :
A = lb, l is the length
[tex]l=\dfrac{A}{b}\\\\l=\dfrac{30.0625}{\dfrac{37}{8}}\\\\l=6.5\ \text{inches}[/tex]
or
[tex]l=\dfrac{13}{2}\ \text{inches}\\\\=6\dfrac{1}{2} \ \text{inches}[/tex]
So, the length of the rectangular plate is [tex]6\dfrac{1}{2} \ \text{inches}[/tex]
