Answer:
Explanation:
The perimeter (\(P\)) of a rectangle is given by the formula:
\[ P = 2L + 2W \]
In this case, the perimeter is 18 feet, and the width (\(W\)) is 4 feet. The length (\(L\)) is what we want to find. The formula can be rearranged to solve for \(L\):
\[ 2L = P - 2W \]
Now, substitute the given values:
\[ 2L = 18 - 2(4) \]
\[ 2L = 18 - 8 \]
\[ 2L = 10 \]
Now, solve for \(L\):
\[ L = \frac{10}{2} \]
\[ L = 5 \]
So, the length of the rectangular yard is 5 feet. Since 1 foot is equal to 12 inches, to convert to inches:
\[ \text{Length in inches} = 5 \, \text{feet} \times 12 \, \text{inches/foot} = 60 \, \text{inches} \]
Therefore, the length of the rectangular yard is 60 inches.