Answer:
5
Step-by-step explanation:
Since this is a rectangle, opposite sides are congruent.
That is, the perimeter in terms of w is:
(2w-1)+(2w-1)+(w)+(w)
or
2(2w-1)+2(w)
We can simplify this.
Distribute:
4w-2+2w
Combine like terms:
6w-2
We are given that the perimeter, 6w-2, is 28.
So we can write an equation for this:
6w-2=28
Add 2 on both sides:
6w =30
Divide both sides by 6:
w =30/6
Simplify:
w =5
w is 5
Check if w=5, then 2w-1=2(5)-1=10-1=9.
Does 5+5+9+9 equal 28? Yep it does 10+18=28.
