Solution:
The area of both rectangular gardens is
[tex]A=48ft^2[/tex]The area of a triangle is calculated using the formula below
[tex]\begin{gathered} A=l\times b \\ l=8ft,b=6ft \end{gathered}[/tex]The area of garden B can be represented below as
[tex]\begin{gathered} A=l\times b \\ l=12ft,b=4ft \end{gathered}[/tex]To figure out the garden design that requires less fencing, we will have to calculate the perimeter of both gardens below using the formula below
The perimeter of GARDEN A will be
[tex]\begin{gathered} P=2(l(+b) \\ P=2(8ft+6ft) \\ P=2(14ft) \\ P=28ft \end{gathered}[/tex]The Perimeter of GARDEN B will be
[tex]\begin{gathered} P=2(l+b) \\ P=2(12FT+4FT) \\ P=2(16ft) \\ P=32ft \end{gathered}[/tex]Hence,
Garden A will require less fencing because it has the less perimeter
