Question

here is a rectangle with measurements for width and height. the total area of the rectangle must be less than 21 cm2. write an inequality that would help calculate possible values of x. type your inequality here:

Explanation:

Step1: Recall area of rectangle

The area of a rectangle is given by the formula \( A = \text{width} \times \text{height} \). Here, the width is \( x \) and the height is \( x - 4 \), so the area \( A = x(x - 4) \).

Step2: Set up the inequality

We know that the total area must be less than \( 21 \, \text{cm}^2 \). So we set up the inequality \( x(x - 4) < 21 \). We can also expand this to \( x^2 - 4x - 21 < 0 \), but the factored form (or the product form) is also acceptable as the inequality to calculate possible values of \( x \).

Answer:

\( x(x - 4) < 21 \) (or equivalent expanded form \( x^2 - 4x - 21 < 0 \))