The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represents the total area of the garden

The options are

a.) 5x - 9

b.) 6x + 20

c.) 6x² - 23x + 20

d.) 6x²-14x - 9

Answer:

c.) 6x² - 23x + 20

Step-by-step explanation:

Rectangle area can be computed as length * width. The garden is a rectangle so the area can be computed by multiplying the length and the width.

Area = L * W

Length = 3x - 4

width = 2x - 5

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

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

Note : - * - = +

Area = 6x² - 15x - 8x + 20

Area = 6x² - 23x + 20

Both of them.

(3x-4) * (2x-5)

6x^2-15x-8x-20

6x^2 - 23x - 20 = area