Question

Jason is helping his friend build a rectangular garden the area of the garden is 36 square meters the length of the garden is 9 m Jason wonders with the width of the garden will be Jason knows that the formula for the area of her rectangle is a equals length times width how would you rearrange this formula to highlight the width as the quantity of interest

Answer 1

To highlight the width as the quantity of interest in the formula for the area of a rectangle, you start with the formula for the area \( A \):

\[
A = \text{length} \times \text{width}
\]

In this situation, you want to solve for the width. To do this, you can rearrange the formula as follows:

1. Divide both sides of the equation by the length:

\[
\text{width} = \frac{A}{\text{length}}
\]

2. Substitute the values for area (\( A = 36 \) square meters) and length (\( \text{length} = 9 \) m) into the equation:

\[
\text{width} = \frac{36}{9}
\]

3. Calculate the width:

\[
\text{width} = 4 \, \text{m}
\]

So, the width of the garden will be \( 4 \, \text{meters} \).