Q9 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 meters. Jason wonders what the width of the garden will be. Jason knows that the formula for the area of a rectangle is (A = l * w). How would he rearrange this formula to highlight the width, w, as the quantity of interest?
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GPT-4o mini
To rearrange the formula for the area of a rectangle, \( A = l \times w \), to highlight the width \( w \) as the quantity of interest, you need to solve for \( w \).
Starting with the formula:
\[ A = l \times w \]
To isolate \( w \), divide both sides of the equation by \( l \):
\[ w = \frac{A}{l} \]
Now, Jason can use this rearranged formula to find the width of the garden. Given that the area \( A \) is 36 square meters and the length \( l \) is 9 meters, he can substitute these values into the equation:
\[ w = \frac{36}{9} \]
Calculating this gives:
\[ w = 4 \]
Therefore, the width of the garden is 4 meters.
Starting with the formula:
\[ A = l \times w \]
To isolate \( w \), divide both sides of the equation by \( l \):
\[ w = \frac{A}{l} \]
Now, Jason can use this rearranged formula to find the width of the garden. Given that the area \( A \) is 36 square meters and the length \( l \) is 9 meters, he can substitute these values into the equation:
\[ w = \frac{36}{9} \]
Calculating this gives:
\[ w = 4 \]
Therefore, the width of the garden is 4 meters.
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