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 ft2.

Example 2: The area of a rectangular yard is 120 m2. 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