 Hello friends, let's discuss the following question. It says a floral design on a floor is made up of 16 tiles which are triangular. The sides of triangle being 9 centimeter, 28 centimeter and 35 centimeter. Trying the cost of polishing the tiles at the rate of 50 vaset per centimeter square. So we have to find the cost of polishing 16 such tiles. For that we'll first find the area of 16 such tiles and then with the area of 16 such tiles we'll multiply the cost of polishing the tiles which is given to be 50 paisa per centimeter square. Let us now move on to the solution. Now for the solution we first need to find the area of one such tile. Let us name this tile as A-O-B. So in triangle A-O-B is equal to 28 plus 35 plus 9 upon 2. Since we have given three sides of a triangle we'll be using Heron's formula for which we need to find S which is given by A plus B plus C by 2. Here A is 28, B is 35 and C is 9. So S is equal to 36. Now we find area of triangle A-O-B which is given by under root of S into S minus A into S minus B into S minus C centimeter square since the unit of length is given to be centimeter the unit of area will be centimeter square and that is equal to 36 into 36 minus 28 into 36 minus 35 into 36 minus 9 centimeter square which is again equal to under the root of 36 into 8 into 1 into 27 and on simplifying this comes out to be equal to 36 root 6 centimeter square which is equal to 88.2 centimeters square. So area of one triangular tile is equal to 88.2 centimeters square. The area of 16 sub-styles is equal to number of tiles into the area of one tile. So this is equal to 1400 11.2 centimeters square. Now we find the cost of polishing 16 such tiles at the rate of 50 passive per centimeter square. So the cost of polishing it is given by area of the 16 tiles which is 1411.2 into the cost of polishing the area of one centimeter and the cost of polishing the area of one centimeter is given to be 50 paisa and 50 paisa when converted into rupee it becomes 50 upon 100 so it becomes as we know that in 100 paisa we have 1 rupee and 1 paisa is equal to 1 upon 100 rupee then 50 paisa is equal to 50 upon 100 rupees and the cost comes out to be rupees 705 60 paisa and the answer is rupees 705.60 So this completes the question. Hope you enjoyed this session. Goodbye and take care