Question

Please help! Im so stuck on this and cant figure it out

Answer 1

First, we split the figure into two shapes, a triangle and a trapezoid. First, we know that the length of the base of the right triangle is 2, because in a 30-60-90 triangle, the side next to the 60° is half of the hypotenuse. Then, the length of the height would be 2 times root 3, which is 3.46410161514. Height is 3.46410161514 meters and base is 2 meters. We multiply the base times the height, and we get 6.92820323028 meters squared. This is the area of the triangle. Since we know that the base of the triangle is 2, we can do 5-2 to find the first base of the trapezoid, which is 3. We know that the height is 3.46410161514, the first base is 3, and that the second base is 5, so we plug it into our equation which is base1 + base2 over 2 times the height. We plug it in and get approximately 13.85641. Then we round to the tenths place, and we get 13.86 meters squared of the figure. Brainliest?