Answer: x = 8.77
Step-by-step explanation:
Using Pythagoreus Theorem
In the smaller rectangle
4²+5² = h²
41 = h²
h = √41
Therefore two sides of the rectangle will √41
No using pythagoreus theorem in the bigger triangle
6² + (√41)² = x²
x² = 36+41
x² = 77
x = √77
x = 8.7749643874
When rounded off to nearest tenth the hundreth digit is in 0-5 range
x = 8.77
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