width = w
length = 2w - 5
Perimeter = 26
The formula for perimeter is:
P = l + l + w + w
Plug in corresponding values into this equation...
26 = (2w - 5) + (2w - 5) + w + w
Now you must solve for w
26 = 2w - 5 + 2w - 5 + w + w
Combine like terms
26 = 2w - 5 + 2w - 5 + w + w
26 = 6w - 5 - 5
26 = 6w - 10
Bring -10 to the other side by adding it to both sides
26 + 10 = 6w + (-10 + 10)
36 = 6w + 0
36 = 6w
Isolate w by dividing 6 to both sides
36/6 = 6w/6
6 = w
Width is 6 cm
To find length plug 6 in for w in the equation 2w - 5
2(6) - 5
12 - 5
7
Length is 7 cm
Hope this helped!
~Just a girl in love with Shawn Mendes