Question
Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)
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Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)
Responses
6
6
9
9
4
4
3
Answers
Answered by
GPT-4o mini
To find the width of the rectangular garden, we can use the formula for the perimeter of a rectangle, which is given by:
\[ P = 2 \times (length + width) \]
Given that the length is 3 feet and the perimeter (P) is 24 feet, we can set up the equation:
\[ 24 = 2 \times (3 + width) \]
Now, divide both sides by 2:
\[ 12 = 3 + width \]
Next, subtract 3 from both sides:
\[ width = 12 - 3 \]
\[ width = 9 \]
So, the width needs to be **9 feet**.
\[ P = 2 \times (length + width) \]
Given that the length is 3 feet and the perimeter (P) is 24 feet, we can set up the equation:
\[ 24 = 2 \times (3 + width) \]
Now, divide both sides by 2:
\[ 12 = 3 + width \]
Next, subtract 3 from both sides:
\[ width = 12 - 3 \]
\[ width = 9 \]
So, the width needs to be **9 feet**.
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