Question

Solve Ax + By = −C for x.

Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)

Answer 1

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.