Given:
The length of the rectangular room is 6 more than the width.
The area of the room, A = 27 square units.
Required:
We need to find the dimensions of the given rectangular room.
Step-by-step explanation:
Let w be the width of the rectangle.
6 more than means add 6.
The length of the rectangle, l= w+6.
Consider the area of the rectangle formula.

Substitute A = 27, and l=w+6 in the formula.


Subtract 27 from both sides of the equation.





Take out the common multiple.




The measure is always positive.

Substitute w =3 in the equation l =w+6.

We get l =9 units and w =3 units.
Final answer:
The dimensions of the room are 3 and 9.