Answer
15.21425 sq.ft
Work Step by Step
1. Draw the two diagonals; diagonal QN is further referred to as "x" and PM as "y".
2. As the diagonals are split in two, label each half as half x (x/2) and half y (y/2).
3. You can now find the measure of x and y by using basic trigonometric functions sine and cosine.
4a. $sin(12.5)=\frac{x/2}{6}$
4b. $cos(12.5)=\frac{y/2}{6}$
5a. $x=sin(12.5)*12$
5b. $y=cos(12.5)*12$
6a. $x=2.597275$
6b. $y=11.715552$
7. Now that we have the measures of both the diagonals, we can substitute them in the rhombus area formula to get our result.
8. $Area=\frac{1}{2}*d_{1}*d_{2}$. Here, d1 is x and d2 is y.
9. $Area=\frac{1}{2}*x*y$. Substituting the values in the equation we should get our result.
10. $Area=\frac{1}{2}*2.597275*11.715552$
11. $Area=15.2142552$.
Therefore $Area \approx 15.21425$
