Respuesta :
l*(1/4)l = 9
(1/4)l^2 = 9
l^2 = 36
l = 6
The length of the rectangle is 6 units. :) Brainliest?
Answer:
the length of a rectangle(l) is, 6 units
Step-by-step explanation:
Given the equation:
[tex]l(w) =9[/tex] ....[1]
As per the statement:
A rectangle’s width is one-fourth of its length.
⇒[tex]w = \frac{1}{4}l[/tex]
Substitute this in [1] we have;
[tex]l(\frac{1}{4}l) =9[/tex]
⇒[tex]\frac{1}{4}l^2 = 9[/tex]
Multiply both sides by 4 we have;
[tex]l^2 =36[/tex]
⇒[tex]l = \sqrt{36} = 6[/tex] units
Therefore, the length of a rectangle is, 6 units
