Answer:
85 units²
Explanation:
All sides of a square are equal.
Area of a square = x · x = x², where x = length of a side
Length of a side of the purple square = √35 = 5.92
Length of a side of the green square = √50 = 7.07
Now you can use the Pythagorean Theorem to find the length, x, of a side of the blue square.
x² = 5.92² + 7.07² = 35 + 50 = 85
x = √85 = 9.2
Therefore, area of the blue square = x² = 9.2² = 85