Question 909837
applying the Pythagorean Theorem
w^2 + (2w+10)^2 = 625ft^2
w^2 + 4w^2 + 40w + 100  = 625ft^2
5w^2 + 40w -525 = 0
w^2 + 8w - 105 = 0
(w + 15)(w-7) = 0  (Tossing out the negative solution for unit measure)
w = 7ft  and L = 24ft {{{2*7+10}}}
And checking...
49 + 576 = 625