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The approximate and most likely dimension of the entertainment center is 20inches by 30 inches. As the diagonal of this rectangle is 36.06 inches.
What is the diagonal of a rectangle?
The diagonal of a rectangle is the line that connects two opposite and non-adjacent vertices.
A rectangle with length and breadth of 'a' and 'b' respectively, has a diagonal of √[a² + b²] as per Pythagorean theorem.
Given, the size of the television is 36 inches.
We know, a television size is measured as per the diagonal of the television.
Therefore, the diagonal of the television is 36 inches.
Option: A Diagonal of a rectangle with dimensions of 18 inches and 24 inches = √[(18)² + (24)²] inches
= √(900) inches
= 30 inches
Option: B Diagonal of a rectangle with dimensions of 20 inches and 30 inches = √[(20)² + (30)²] inches
= √(1300) inches
= 36.06 inches
Option: C Diagonal of a rectangle with dimensions of 24 inches and 32 inches = √[(24)² + (32)²] inches
= √(1600) inches
= 40 inches
Therefore, Option (B) is the approximate and most likely dimension of the entertainment center.
Learn more about the diagonal of a rectangle here: https://brainly.com/question/17332691
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