Given:
The length of a rectangle is 5 centimeters less than 2 times the width.
To find:
The polynomial expression that represents the area of the rectangle, then simplify the expression.
Solution:
Let
be the width of the rectangle.
The length of a rectangle is 5 centimeters less than 2 times the width.
2 times the width =

5 centimeters less than 2 times the width =

Length of the rectangle =

We know that, the area of a rectangle is:



Therefore, the required polynomial expression is
and its simplified form is
.