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 :)