The area of a triangle can be calculated if we know the lengths of all three sides of the triangle or the lengths of two sides and the measure of the included angle. In this case, we are given the lengths of two sides of the triangle (7 yards and 9 yards) and the measure of the included angle (49 degrees).
To find the length of the third side we can use the Law of Cosines. Which states that, in a triangle with sides a, b and c, and an angle C opposite to side c, c² = a² + b² - 2ab * cos(C).
In this case, a = 7, b = 9 and C = 49. So, we can calculate the value of c which is the length of the third side. Once we have this value, we can use Heron's formula, which states that the area of the triangle is equal to √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle (s = (a+b+c)/2).
By using these formulas we can calculate the area of the triangle which is approximately 25.38 square yards.
I hope this helps :)