Answer:
36 miles and 10 miles
Explanation:
area = length × width
A = LW
W = unknown = x
L = 26 ft more than width = x + 26
A = LW
360 = (x + 26)x
360 = x² + 26x
x² + 26x - 360 = 0
(x + 36)(x - 10) = 0
x + 36 = 0 or x - 10 = 0
x = -36 or x = 10
We discard the solution x = -36 since the width of a rectangle cannot be a negative number.
W = x = 10
L = x + 26 = 10 + 26 = 36
Answer: 36 miles and 10 miles