 Hi and welcome to the session. Today we will discuss the following question. The question says the area of a trapezium is 34 centimetres square. In the length of one of the parallel sides is 10 centimetres and its height is 4 centimetres. Find the length of the other parallel side. Before proceeding for the solution let's recall area of a trapezium. Now area of trapezium is equal to half into sum of parallel sides into height. The key idea for this question. Now let's see its solution. Here we have a trapezium. Now in question we are given that the area of the trapezium is 34 centimetres square. So area of trapezium is equal to 34 centimetres square. Also the length of one of the parallel sides is 10 centimetres. Length of one parallel side is equal to 10 centimetres. Let's say this side is 10 centimetres. Now height is 4 centimetres. Height equal to 4 centimetres. Here the height is 4 centimetres. Now we need to find the length of other parallel side. So let us assume it to be x. Let the length of other parallel side equal to x centimetre. Here in figure let this length is x centimetres. Now substitute all these values in the formula of area of trapezium. So we have area of trapezium that is 34 centimetres square equal to half into sum of parallel sides. Length of one parallel side is 10 centimetres. Now length of other parallel side is x centimetre into height and height is 4 centimetres. Here 2 and 4 will get cancelled by the common factor 2 and we will get 34 equal to 2 into 10 plus x which gives 34 equal to 20 plus 2x. Now subtracting 20 from both the sides we will get 34 minus 20 equal to 20 plus 2x minus 20. So here 34 minus 20 is equal to 14 equal to and on right hand side 20 and minus 20 will get cancelled and we are left with 2x. Now dividing both the sides by 2 we have 14 upon 2 equal to 2x upon 2. Now 14 and 2 gets cancelled by the common factor 2 and here 2 and 2 will get cancelled. So we get 7 equal to x therefore length of other parallel side is equal to 7 centimetres. And thus 7 centimetres is a required answer. With this we finish this session. Hope you must have enjoyed it. Goodbye and take care.