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) 6x^2 -23x + 20
D) 6x^2-14x -9
The total area of a rectangle is found by multiplying the length by the width. So the total area of the garden is (3x + 4)(2x - 5).
Using the distributive property, we can expand this expression to: 6x^2 - 15x + 8x - 20.
Combining like terms, we get: 6x^2 - 7x - 20.
Therefore, the total area of the garden is represented by 6x^2 - 7x - 20.
None of the given options match this expression, so none of the options represent the total area of the garden.