Question

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

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Cristian

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61 Answers

Let's denote the width as \(w\) and the length as \(l\).
The problem states that the length of the fenced area is 5 feet greater than the width:
\[ l = w + 5 \]
The total amount of fencing to be used is 89 feet, which includes both the length and the width:
\[ 2w + 2l = 89 \]
Now, substitute the expression for \(l\) from the first equation into the second equation:
\[ 2w + 2(w + 5) = 89 \]
Distribute and combine like terms:
\[ 2w + 2w + 10 = 89 \]
\[ 4w + 10 = 89 \]
Subtract 10 from both sides:
\[ 4w = 79 \]
Divide by 4:
\[ w = 19.75 \]
Now that we have the width, we can find the length using the first equation:
\[ l = w + 5 \]
\[ l = 19.75 + 5 \]
\[ l = 24.75 \]
Therefore, the width is 19.75 feet and the length is 24.75 feet.

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