 Hi, and welcome to the session. Let us discuss the following question. The question says, length of the fence of a trapezium-shaped field A, B, C, D is 120 meters. If Vc is equal to 48 meters, Cd is equal to 17 meters and A, D is equal to 40 meters, find the area of this field. Side A, B is perpendicular to the parallel sides A, D and Vc. Here is the figure of the field A, B, C, D. Now before proceeding for the solution, let's recall the formula of area of trapezium. Now area of trapezium is equal to 1 by 2 into sum of parallel sides into height. This is the key idea for this question. Now let's see its solution. In question, we are given that the length of the fence of the field is 120 meters. That means the perimeter of the field is 120 meters. Now Vc is 48 meters, Cd is 17 meters, A, D is 40 meters. Now A, B is left. So first of all let us find the length of A, B. So now perimeter is equal to A, B plus Vc plus Cd plus DA. Now let us substitute the values. Perimeter is 120 meters. So let's substitute 120 in place of perimeter. Now A, B we need to find. So let's write A, B as it is plus Vc 48 meters. So let's write 48 plus Cd 17 plus DA is 40 meters. So this implies 120 is equal to A, B plus 105. Now subtracting 105 from both the sides we will get 120 minus 105 equal to A, B plus 105 minus 105. So here 120 minus 105 is equal to 15 and here 105 and minus 105 will get cancelled and we are left with A, B. Therefore length of A, B is equal to 15 meters. So this is 15 meters. Now we need to find the area of this field that is we need to find the area of the trapezium A, B, C, D. Now here we know the formula of the area of trapezium so we will substitute the values. That is some of the parallel sides and parallel sides are A, D that is 40 meters and B, C that is 48 meters and height is A, B as A, B is perpendicular to A, D and B, C. So the perpendicular distance between two parallel lines is the height. So A, B that is 15 meters is the height of this trapezium. So area of the field A, B, C, D is equal to half into sum of parallel sides that is 40 meters plus 48 meters into height that is A, B 15 meters and this is equal to 1 by 2 into 40 plus 48. into 15 meters square that is 1 by 2 into 88 into 15 meters square which on simplifying gives 660 meters square. Therefore area of the field A, B, C, D is equal to 660 meters square and this is our required answer. So with this we have finished this session. Hope you must have enjoyed it. Goodbye and take care.