Calculate the area of a rectangle his length exceeds 3 units than his width, and his width equals $$ x $$ length units.

Question

UpStudy AI · Accepted Answer

Let the width be represented by $$ x $$ (in length units). Since the rectangle's length exceeds its width by 3 units, the length can be written as

$$
x + 3.
$$

The area $$ A $$ of a rectangle is given by the product of its width and length:

$$
A = \text{width} \times \text{length}.
$$

Substituting the expressions we have:

$$
A = x \times (x+3).
$$

Thus, the area of the rectangle is

$$
A = x(x+3).
$$
The area of the rectangle is $$ A = x(x + 3) $$.

Calculate the area of a rectangle his length exceeds 3 units than his width, and his width equals \( x \) length units.