Question

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.

Answer 1

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

Answer 2

l*(1/4)l = 9

(1/4)l^2 = 9

l^2 = 36

l = 6

The length of the rectangle is 6 units.  :) Brainliest?