Question

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle? A) 6x2 + 8x + 2 B) − 8x + 2 C) 6x2 − 8x + 2 D) 6x2 − 8x − 2

Answer 1

Answer: Area = $6x^{2}-8x+2$

Step-by-step explanation:

The formula for calculating the area of a rectangle is given by :

Area = Length x width

length = $(6x-2)$

Width = $(x-1)$

Therefore :

Area = $(6x-2)(x-1)$

Expanding the equation , we have

Area = $6x(x-1) -2(x-1)$

Area = $6x^{2}-6x$$-2x + 2$

Area = $6x^{2}-8x+2$