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 $4,\text{meters}$.