Question

Taylor is removing dirt from a rectangular section of her backyard to build a water feature. This section is 2 meters long and has an area of 10 square meters. What is the perimeter of this section

Answer 1

The area of a rectangle is given by:

$A=L\times W$

Where L is the length and w is the width. The rectangle has an area of 10 square meters and a length of 2 meters. By replacing these values in the formula we can find the width:

$\begin{gathered} 10m^2=2m\times W \\ W=\frac{10m^2}{2m} \\ W=5m \end{gathered}$

The perimeter of a rectangle is given by:

$\begin{gathered} P=2(L+W) \\ \text{ Replace the known values} \\ P=2(2m+5m) \\ P=2(7m) \\ P=14m \end{gathered}$

The perimeter of this section is 14 m.