Area Comparison in Acute Triangle

Consider triangle ABC, where the lengths of sides AB, AC, and BC are represented by x, y, and z respectively. It is given that triangle ABC is an acute triangle. The area of the triangle can be calculated using the formula:

Area = &f\frac{1}{2} * base * height

In addition, we are given the following:

• The perimeter of triangle ABC is 36.
• The side lengths satisfy the condition that x^2 + y^2 > z^2.
• It is also known that z = y + 4.

Let:

• Quantity A: The value of the area of triangle ABC.
• Quantity B: The value of 60.

Which of the following statements is true?