Question

The length of a rectangle is 2 units shorter than one-fifth of the width, x.

Which expression represents the perimeter of the rectangle?

Answer 1

Perimeter =
`(12x)/(5)-4`

Explanation:

Let the length of a rectangle is l and width is w.

Then the expression which represents the perimeter is

P = 2(l + w)

It is given in the question length of the rectangle = l and width = x

and l =
`(x)/(5)-2`

By replacing these values in the expression for the perimeter

P =
`2[(x)/(5)-2+x]`

=
`2[(6x)/(5)-2]`

=
`(12x)/(5)-4`

Therefore, expression that represents the perimeter of the rectangle will be

Perimeter =
`(12x)/(5)-4`

Answer 2

perimeter = 2L+2w

from the problem L = 1/5w-2

so perimeter = 2(1/5w-2) +2w

= 2/5w-4 +2w

=12/5w-4

without seeing your choices it should be similar to this