Answer:
Width = 696.
Length = 697.
Step-by-step explanation:
Let the width be x, then the length = x+1 feet.
Using the Pythagoras Theorem:
x^2 + (x + 1)^2 = 985^2
x^2 + x^2 + 2x + 1 = 985^2
2x^2 + 2x - 970224 = 0
Using the quadratic formula:
x = [-2 +/- √(2^2 - 4*2*-970224)] / (2*2)
x = 696, -697(we ignore the negative root).
