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
To find the total area of the garden, we need to find the product of the length and width.
Length = 3x + 4
Width = 2x - 5
Total area = (3x + 4)(2x - 5)
Using the FOIL method, we can expand the expression:
Total area = 6x^2 - 15x + 8x - 20
Combining like terms, we get:
Total area = 6x^2 - 7x - 20
Therefore, the correct answer is D) 6x^2 - 14x - 9.