For this case, what we must do is find the dimensions of the patio.
For this, we use the following perimeter equation:
\(p = 2w + 2l
\)
Where,
w: width of the patio
l: length of the patio
Substituting values we have:
\(2w + 2l = 134
\)
Then, on the other hand, we know that:
The patio is 5 feet less wide than it is long:
\(w = l-5
\)
We then have the following equations:
\(2w + 2l = 134
w = l-5
\)
Solving by substitution we have:
\(2 (l-5) + 2l = 134
2l -10 + 2l = 134
2l + 2l = 134 + 10
4l = 144
\)
\(l = \frac{144}{4}
l = 36
\)
Then, the width is:
\(w = l-5
w = 36-5
w = 31
\)
Answer:
The dimensions of the patio are given by:
\(l = 36 feet
w = 31 feet\)
