Question

The length of a rectangle is 5 centimeters less than 2 times the width.

a. Write a polynomial expression that represents ( 2 points )
the area of the rectangle.Simplify the expression.

Answer 1

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
`x` be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width =
`2x`

5 centimeters less than 2 times the width =
`2x-5`

Length of the rectangle =
`2x-5`

We know that, the area of a rectangle is:

`A=length * width`

`A=(2x-5)* x`

`A=2x^2-5x`

Therefore, the required polynomial expression is
`A=(2x-5)* x` and its simplified form is
`A=2x^2-5x`.