<h3>
Answer:</h3>
a) TI = 7√3 in
b) IR = 7 in
<h3>
Explanation:</h3>
<u>Using cosine rule</u>:




<u>Using sine rule</u>:




There are 330 combinations and 1,663,200 individual permutations.
Step 1) Divide up the figure
In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.
Step 2) Find the area of each shape in the figure
Triangle: A = 1/2 x 6 x 9 = 27
Small rectangle: A = 3 x 18 = 54
Large rectangle (center): A = 8 x 14 = 112
Large rectangle (bottom): A = 5 x 9 = 45
Step 3) Add the area of each shape together
A = 27 + 54 + 112 + 45 = 238 square inches
Hope this helps! :)