Answer:
We can use the Pythagorean theorem to solve for the width of Dominic's living room. The Pythagorean theorem states that for a right triangle with legs of length a and b and hypotenuse of length c, a² + b² = c².
In this case, we can treat the length of the living room (9 meters) as one leg of the right triangle, and the distance between opposite corners (10 meters) as the hypotenuse. Let w be the width of the living room. Then the other leg of the right triangle has length w.
Applying the Pythagorean theorem, we get:
9² + w² = 10²
81 + w² = 100
w² = 19
w ≈ 4.4
Therefore, the width of Dominic's living room is approximately 4.4 meters.
Explanation: