 Hello and welcome to the session. In this session we discuss the following question which says, the ratio of two sides of a parallelogram is 2 is to 3. If its perimeter is 91 centimeters, find the length of the size of the parallelogram. Before we move on to the solution, let's recall one property of parallelogram which says that the opposite sides of a parallelogram are equal and parallel. This is the key idea to be used in this question. Now we move on to the solution. Consider this parallelogram, a, b, c, d. Now we are given that the ratio of two sides of a parallelogram is 2 is to 3. So we take that a, b be equal to 2x and b, c be equal to 3x. Now since the opposite sides of a parallelogram are equal and parallel, so c, d would be also equal to 2x and a, d would be equal to 3x. That is we have a, b is equal to c, d and so it is equal to 2x. Then b, c is equal to a, d which is equal to 3x. We have the perimeter of the parallelogram a, b, c, d is given as 91 centimeters. That is the sum of the size of the parallelogram is equal to 91 centimeters. So we have 2x plus 3x plus 2x plus 3x is equal to 91, which means we have 10x is equal to 91. We get the value of x by dividing both sides by 10. So we have x is equal to 9.1. Now putting the value of x in a, b which is equal to 2x. So a, b is equal to 2 into 9.1, which would be equal to 18.2 centimeters. Then dc would be equal to 3x and this is equal to 3 into 9.1, which is equal to 27.3 centimeters. And since we have a, b is equal to c, d. So this would be equal to 18.2 centimeters. Also b, c is equal to a, d which would be equal to 27.3 centimeters. So we have got the measures of length of all the sides of the parallelogram a, b, b, c, c, d and a, d. This completes the session. Hope you have understood the solution of this question.