The area of rectangular garden is [tex]8 x^{2}+4 x-24[/tex]
Given that a rectangular garden has width = 4x - 6
Length of rectangular garden = 2x + 4
To find: area of rectangular garden
The area of rectangle is given as:
[tex]\text {area of rectangle }=\text { length } \times \text { width }[/tex]
Substituting the values in given formula,
[tex]\begin{array}{l}{\text { area of rectangle }=(2x+4) \times(4x-6)} \\\\ {=8 x^{2}-12 x+16 x-24} \\\\ {=8 x^{2}+4 x-24}\end{array}[/tex]
Thus the area of rectangular garden is [tex]8 x^{2}+4 x-24[/tex]