Answer:
Length of the rectangle is 6 unit.
Step-by-step explanation:
Here, I represents the length of the rectangle,
Since, width of the rectangle is one-fourth of its length,
⇒ Width of the rectangle = [tex]\frac{l}{4}[/tex]
We know that,
The area of a rectangle = Length × Width,
Thus, the area of given rectangle,
[tex]A=l\times \frac{l}{4}[/tex]
According to the question,
A = 9,
[tex]\implies l\times \frac{l}{4}=9[/tex]
[tex]\implies \frac{l^2}{4}=9[/tex]
[tex]\implies l^2 =36\implies l = 6[/tex]
Hence, the length of the rectangle is 6 unit.
