Chapter 0, Problem 13PO

a)

To determine

To write: the expression for each measure.

Answer to Problem 13PO

The height of the rectangle is $\left(2x-3\right)$ millimeters.

Explanation of Solution

Given information:

It is given that height of a rectangle is 3 millimeters less than twice the width.

Let the width of a rectangle be ‘x’ millimeters.

Then, height of a rectangle will be $\left(2x-3\right)$ millimeters.

So,

The height of the rectangle is $\left(2x-3\right)$ millimeters.

b)

To determine

To write: the polynomial expression for the area of the rectangle.

Answer to Problem 13PO

The polynomial expression for the area of the rectangle $=x\left(2x-3\right)$ .

Explanation of Solution

Given information:

It is given that height of a rectangle is 3 millimeters less than twice the width.

Let the width of a rectangle be ‘x’ millimeters.

Then, height of a rectangle will be $\left(2x-3\right)$ millimeters.

So,

The height of the rectangle is $\left(2x-3\right)$ millimeters.

Now,

It is known that area of the rectangle $=length\times breadth$

Using the above formula and writing the polynomial expression for the area of the rectangle,

  $=x\left(2x-3\right)$