A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.
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:
\(l(w) =9\) ....[1]
As per the statement:
A rectangle’s width is one-fourth of its length.
⇒\(w = \frac{1}{4}l\)
Substitute this in [1] we have;
\(l(\frac{1}{4}l) =9\)
⇒\(\frac{1}{4}l^2 = 9\)
Multiply both sides by 4 we have;
\(l^2 =36\)
⇒\(l = \sqrt{36} = 6\) units
Therefore, the length of a rectangle is, 6 units