The area of a rectangle is the amount of space taken up by the rectangle. To find the area of a rectangle, we simply have to multiply its length by its width. Hence, the formula to find the area of a rectangle is:

$$\LARGE{A = lw}$$

where \({l}\) is the length and \({w}\) is the width

Let's apply this formula by taking a look at a few examples.

**Example 1**: What is the area of the rectangle below?

Here we have a rectangle that is 19 feet long and 13 feet wide. Therefore, our **length is 19 ft** and **width is 13 ft**.

Remember that the area of a rectangle is the length times the width. Applying the formula, we get

$$\eqalign{

A & = lw \cr

& = \left( {19} \right)\left( {13} \right) \cr

& = 247 \cr} $$

Don't forget, we always write the area as units squared. So, the area of the rectangle above is **247 feet squared or 247 ft ^{2}**.

**Example 2**: The area of a rectangular yard is 120 m^{2}. If the width is 8 meters, find the length.

Since we know the area, \(A=120\), and the width, \(w=8\), this makes it easy for us to find the length using the formula

$$\eqalign{

A& = lw \cr

120 &= \left( l \right)\left( 8 \right) \cr

120 &= 8l \cr

{{120} \over 8} &= {{8l} \over 8} \cr

15& = l \cr} $$

Therefore, the length of the rectangular yard is **15 meters**.