The area of rectangular garden is
![8 x^(2)+4 x-24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d3vzt4044ylh04taw8nowjtlpfcx9p0ikv.png)
Solution:
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:
![\text {area of rectangle }=\text { length } * \text { width }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6qmxiw2xqc0ffvaw1awa442nx9kdxt0ead.png)
Substituting the values in given formula,
![\begin{array}{l}{\text { area of rectangle }=(2x+4) *(4x-6)} \\\\ {=8 x^(2)-12 x+16 x-24} \\\\ {=8 x^(2)+4 x-24}\end{array}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tiudvlyn6ix63rc9uecdeiepynnayjjtxh.png)
Thus the area of rectangular garden is
![8 x^(2)+4 x-24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/d3vzt4044ylh04taw8nowjtlpfcx9p0ikv.png)