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. What is the length of the rectangle? 0.75 units 1.5 units 3 units 6 units

Answer 1

Answer: The answer D

Which is  6 units

Step-by-step explanation:

Answer 2

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 = $\frac{l}{4}$

We know that,

The area of a rectangle = Length × Width,

Thus, the area of given rectangle,

$A=l\times \frac{l}{4}$

According to the question,

A = 9,

$\implies l\times \frac{l}{4}=9$

$\implies \frac{l^2}{4}=9$

$\implies l^2 =36\implies l = 6$

Hence, the length of the rectangle is 6 unit.