The length of a rectangular garden is represented by 3x4 and the width is represented by 2x-5. Which of the following represents the total area of the garden?
A 5x-9
B 6x + 20
C 6x223x+20
D 6x2-14x-9
The total area of a rectangle is found by multiplying its length by its width. Therefore, the total area of the garden can be represented by (3x+4)(2x-5).
Using the distributive property, this can be expanded to 6x^2 - 15x + 8x - 20.
Combining like terms, this simplifies to 6x^2 - 7x - 20.
Therefore, the total area of the garden is represented by option D: 6x^2 - 14x - 9.