Answer :
Let's say the rectangle's dimensions are l and w.
Then:
wl = 52
l = 2w-5
This we can solve:
w(2w-5) = 52
2w² - 5w - 52 = 0
Using the quadratic formula you can find w = 13/2
So l = 8
Then:
wl = 52
l = 2w-5
This we can solve:
w(2w-5) = 52
2w² - 5w - 52 = 0
Using the quadratic formula you can find w = 13/2
So l = 8