Given data:
Perimeter of the square= 96ft
Recall that a square is a four-sided shape with all sides equal.
That is perimeter of a square = L+L+L+L= 4L;
Where L is the length of each side of the square;
[tex]\begin{gathered} 4L=96 \\ L=\frac{96}{4} \\ L=24ft \end{gathered}[/tex][tex]\begin{gathered} hypotenuse^2=opposite^2+adjacent^2 \\ d^2=24^2+24^2 \\ d^2=576+576 \\ d^2=1152 \end{gathered}[/tex][tex]\begin{gathered} d=\sqrt[]{1152} \\ d=33.94ft \end{gathered}[/tex]
Hence, the diagonal of the square garden is 33.94ft
