Answer:
Perimeter =2(L+B)
Area of the patio=1116 square feet
Step-by-step explanation:
We are given that a patio in the shape of rectangle and fenced on all sides with 134 feet of fencing.
Let length of patio=x feet
Width of patio=x-5 feet
We know that perimeter of rectangle =\(2(L+B)\)
Substitute the values then we get
\(2(x+x-5)=134\)
\(2(2x-5)=134\)
\(4x-10=134\)
\(4x=134+10\)
\(4x=144\)
\(x=\frac{144}{4}\)
\(x=36\)
Length of patio=36 feet
width of patio=36-5=31 feet
Area of rectangle =\(L\times B\)
using the formula of area of rectangle
Area of the patio=\(36\times 31=1116\) square feet
