Question

The length of a rectangle is represented by (6x - 2), and the width is represented by (x - 1). Which expression best

represents the perimeter of the rectangle?

Answer 1

`\boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}`

Explanation:

Given,

Length of a rectangle ( l ) = 6x - 2

Width of a rectangle ( w ) = x - 1

Perimeter of a rectangle ( P ) = ?

Finding the expressions that represents the perimeter of the rectangle

`\boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}`

⇒
`\sf{2(6x - 2 + x - 1)}`

Collect like terms

⇒
`\sf{2(7x - 2 - 1)}`

Calculate

⇒
`\sf{2(7x - 3)}`

Distribute 2 through the parentheses

⇒
`\sf{14x - 6}`

Hope I helped!

Best regards!!