 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Determine the area of rectangle that is 7 inches by 10 inches in square millimeters. Here we are given the measurement of the rectangle as 7 inches by 10 inches. So firstly we will find the area of the rectangle. The length of the rectangle is 7 inches and the width of the rectangle is 10 inches. So here the length and width both are given in the same units that is inches. As we know area of the rectangle is L into W that is length into width. So here the area will be equal to 7 inches into 10 inches which is equal to 70 square inches. Now the given area is in inches and we need to find this area in square millimeters. So the initial unit is square inches and the desired unit is square millimeters. So to convert inches into millimeters we first convert inches into centimeters and then into millimeters. Now we know 1 inch is equal to 2.54 centimeters. 1 centimeter is equal to 10 millimeters. So from 1 we have 1 inch upon 2.54 centimeters is equal to 1 or 2.54 centimeters upon 1 inch is equal to 1. Similarly from 2 we have 1 centimeter upon 10 millimeters is equal to 1 or 10 millimeters upon 1 centimeter is equal to 1. So we choose 2.54 centimeters upon 1 inch as the conversion factor as we have to convert inches to centimeters and we choose 10 millimeters upon 1 centimeter as the conversion factor as the desired unit is millimeters. As we know to convert units of area we need to square the conversion factors. So 70 square inches is equal to 70 square inches into 2.54 centimeters upon 1 inch whole square into 10 millimeters upon 1 centimeter whole square. This is equal to 70 square inches into 6.4516 square centimeters upon 1 square inch into 100 square millimeters upon 1 square centimeter. So here square inches cancel with square inches, square centimeters cancel with square centimeters and we obtain this as 70 into 6.4516 into 100 millimeters square which is equal to 45161.2 millimeters square 70 square inches is equal to 45161.2 square millimeters. So area of the rectangle is equal to 45161.2 square millimeters which is the required answer. This completes our session. Hope you enjoyed the session.