 Hi and welcome to the session. I am Neha and today I am going to help you with the following question. The question says top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface. Let's see its solution. We need to find the area of the given octagon. So for this first of all we will split the octagon into two trapeziums and one rectangle. As I have done in the given figure by marking two lines this one and this one. Now let us name this octagon A, B, C, D, E, F, G and H. Now we have a trapezium A, B, G, H. Second trapezium C, D, E, F and a rectangle B, C, F, G. So to find the area of the octagon we will find the area of two trapeziums and a rectangle and we will add all these three to get the area. So let us write area of octagon A, B, C, D, E, F, G, H is equal to area of trapezium A, B, G, H plus area of trapezium C, D, E, F plus area of rectangle B, C, F, G. Octagon that means trapezium A, B, G, H and trapezium C, D, E, F are congruent. That means their area will be equal. So let us write we have trapezium A, B, G, H is equal to area of trapezium C, D, E, F. So that means we just need to find the area of one trapezium and this will give us the area of other trapezium also. So first of all let us find out the area of trapezium A, B, G, H. So we will write for trapezium B, G, H length of B, G. So H will be equal to meters. So H is equal to 5 meters given to be 11 meters. Now the distance between the parallel lines A, H and B, G let us call it equal to 4 meters of trapezium 1 by 2 into 10s between these two parallel lines B, G. Therefore trapezium H is equal to 1 by 2 into B, G into H. We will get 1 by 2 into 5 meters. So for rectangle 11 meters that area of rectangle is equal to length. So this implies equal to length that is B, G into breadth that is that is equal to 5 meters square B, H that is 32 meters that is 55 meters square. So this is equal to therefore area of octagon is 119 meters square. Yes we finished this session. Hope you must have understood the question.