Respuesta :

Answer:

Perimeter [tex]=4w+10[/tex]

Step-by-step explanation:

Let [tex]w[/tex] = width of the rectangle.

From the information "length of a rectangle is 5cm more than width", we can write:

Length = [tex]w+5[/tex]

- - - -

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(w+5)+2w[/tex]

[tex]=2w+10 + 2w[/tex]

[tex]=4w+10[/tex]

∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].

Hope this helps :)