Question

If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.

Answer 1

Given: A rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet.

Required: To find out the length of the rectangular patio.

Explanation: Let the length and breadth of the rectangular patio be l and b, respectively.

Then according to the question-

$l=5+b$

Now the perimeter of the rectangular patio is 54 feet.

Hence,

$2(l+b)=54$

Putting the value of l and solving we get

$\begin{gathered} 2(5+b+b)=54 \\ 5+2b=27 \\ 2b=22 \\ b=11\text{ feet} \end{gathered}$

Therefore

$\begin{gathered} l=5+11 \\ =16\text{ feet} \end{gathered}$

Final Answer: Option C is correct.