Can you please help me solve this in detail so I can understand it better? I don't feel confident this is the answer and I have a test next week, that I need to study for. Thank you.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.76TI: The distance between opposite corners of a rectangular field is four more than the width of the...
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Can you please help me solve this in detail so I can understand it better? I don't feel confident this is the answer and I have a test next week, that I need to study for. Thank you. 

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