# The floor of a rectangular deck has an area of 600 sq. ft. The floor is 20 ft. wide. How long is the floor?

May 3, 2018

$30$ ft

#### Explanation:

Area $= l \cdot w$

$600 = l \cdot 20$

$\frac{600}{20} = l \cdot \frac{20}{20}$

$= 30$ ft

May 3, 2018

The length of the rectangular deck is $30$ $\text{ft}$ long.

#### Explanation:

The area of a rectangle is $l \cdot w$, where $l = \text{length}$ and $w = \text{width}$.

We know that the area is $600$ ${\text{ft}}^{2}$ and the width is $20$ $\text{ft}$.

Therefore we can plug it into the formula and find the length:
$A = l w$

$600 = l \left(20\right)$

Divide both sides by $\textcolor{b l u e}{20}$:
$\frac{600}{\textcolor{b l u e}{20}} = \frac{l \left(20\right)}{\textcolor{b l u e}{20}}$

$30 = l$

$l = 30$

The length of the rectangular deck is $30$ $\text{ft}$ long.

Hope this helps!