The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
We start by drawing a rectangle around the triangle as shown in the diagram below.
Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)
![\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)](https://tex.z-dn.net/?f=%5Crm%20Area%5C%20of%5C%20RST%20%3D%20%288%20%5Ctimes%204%29%20-%20%5B%28%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%208%20%5Ctimes%202%29%20%2B%20%28%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%204%20%5Ctimes%203%29%20%2B%20%28%5Cdfrac%7B1%7D%7B2%7D%20%20%5Ctimes%205%5Ctimes%202%29%5D%5C%5C%5C%5C%5C%5CArea%5C%20of%5C%20RST%20%3D%20%288%20%5Ctimes%204%29%20-%20%5Cdfrac%7B1%7D%7B2%7D%20%2816%20%2B%2012%20%2B%2010%29)
The area of the triangle RTS is (8×4) - 1/2 (16+12+10).
More about the geometry link is given below.
brainly.com/question/7558603