Question

The width of a rectangle measures (9.6w+4.7x) centimeters, and its length

measures (7.8w - 2.1x) centimeters. Which expression represents the perimeter,
in centimeters, of the rectangle?

Answer 1

`34.8w+5.2x` cm

Explanation:

If the width of a rectangle measures
`(9.6w+4.7x)` cm and its length measures
`(7.8w-2.1x)` cm, then the perimeter of the rectangle is:

`2(9.6w+4.7x)+2(7.8w-2.1x)`

`(19.2w+9.4x)+(15.6w-4.2x)`

`19.2w+9.4x+15.6w-4.2x`

`19.2w+15.6w+9.4x-4.2x`

`34.8w+5.2x`