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

Explanation:

Answer 2

Length of the rectangle is 6 unit.

Explanation:

Here, I represents the length of the rectangle,

Since, width of the rectangle is one-fourth of its length,

⇒ Width of the rectangle =
`(l)/(4)`

We know that,

The area of a rectangle = Length × Width,

Thus, the area of given rectangle,

`A=l* (l)/(4)`

According to the question,

A = 9,

`\implies l* (l)/(4)=9`

`\implies (l^2)/(4)=9`

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

Hence, the length of the rectangle is 6 unit.