Given that :
Area of a rectangle is : A = l×b
For smaller garden,
Length, l = [tex]\dfrac{1}{2}\ \text{foot}[/tex]
Width, [tex]b=\dfrac{2}{3}\ \text{foot}[/tex]
Area of a smaller garden is :
[tex]A=\dfrac{1}{2}\times \dfrac{2}{3}\\\\A=0.34\ \text{foot}^2[/tex]
For larger garden,
length, l' = 4 feet
Width, b' = 5 feet
Area of a larger garden is :
[tex]A'=l'\times b'\\\\A'=4\times 5\\\\A'=20\ \text{feet}^2[/tex]
So, the area of a smaller garden is 0.34 sq ft and that of a larger garden is 20 sq ft.