the length of the rectangle garden is represented by 3x-4 and the width is represented by 2x-5. which of the following represented the total area of the garden

5x-9
6x+20
6x^2-23x+20
6x^2-14x-9

The total area of the garden is given by the product of the length and width:

Area = (3x-4)(2x-5)

To find the product, you can use the foil method:

Area = 3x*2x + 3x*(-5) + (-4)*2x + (-4)*(-5)
= 6x^2 - 15x - 8x + 20
= 6x^2 - 23x + 20

Therefore, the total area of the garden is represented by 6x^2 - 23x + 20.