Question

The area of a rectangle garden $50\text{m}$ long is $300\text{sq m.}$ Find the width of the garden.

Answer 1

• Let the width of the garden be $x\text{m}$.
• The area $A$ of the rectangle with length $l$ and width $w$ is given by, $A=lw$.

Step 1: Substitue $300$ for $A$, $50$ for $l$ and $x$ for $w$ into $A=lw$ and solve for $w$.

$300=\left(50\right)x$

Step 2: Divide both sides of the equation by $50$ and solve for $w$.

$\begin{array}{rcl}\frac{300}{50}& =& \frac{\left(50\right)x}{50}\\ 6\text{m}& =& x\end{array}$

Hence, the width of the garden is $6\text{m}$.