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`

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`