 Hi and welcome to the session. Let us discuss the following question. Question says, construct the following quadrilateral. We need to construct parallelogram MORE in which OR is equal to 6 centimeters, RE is equal to 4.5 centimeters and EO is equal to 7.5 centimeters. Let us now start with the solution. Now first of all we will draw a rough figure of parallelogram MORE. Now this is a rough sketch of parallelogram MORE. Now we are given OR is equal to 6 centimeters, RE is equal to 4.5 centimeters and EO is equal to 7.5 centimeters. Now according to the property of parallelogram opposite sides of a parallelogram are of equal length. So we get OR is equal to ME that is ME is equal to 6 centimeters and RE is equal to OM that is OM is equal to 4.5 centimeters. Let us start with the construction. Now first step of construction is draw EO equal to 7.5 centimeters. Now here we have drawn EO equal to 7.5 centimeters. Now to construct parallelogram MORE we need to construct two triangles triangle ORE and triangle OMLE. Note that both the triangles have the same base OE and they lie on opposite sides of this base. Now first of all let us construct triangle ORE. So first of all we will locate the point R. So second step of construction is with OR center draw an arc of radius 6 centimeters. Clearly you can see we have drawn an arc of radius 6 centimeters from center O. Now third step of construction is with EO center draw an arc of radius 4.5 centimeters to intersect the previous arc R. Clearly you can see this is an arc of radius 4.5 centimeters which has been drawn from center E. Now point of intersection of these two arcs is R. Now we need to locate point M. So to locate this point we will draw an arc of radius 6 centimeters from center E and another arc of radius 4.5 centimeters from center O. Now fourth step of construction is with EO center draw an arc of radius 6 centimeters on the side opposite to point R with reference to EO. Now clearly you can see this is an arc of radius 6 centimeters drawn from center E. Now to locate point M we will draw another arc of radius 4.5 centimeters from center O. So next step of construction is with OR center draw an arc of radius 4.5 centimeters to intersect the previous arc. Now this is an arc of radius 4.5 centimeters drawn from center O. Now point of intersection of these two arcs is M. Now to obtain the Lellogram MORE we need to join MO, OR, RE and EM. So last step of construction is join MO, OR, RE and EM. Now clearly you can see we have joined MO, OR, RE and EM and MO, RE is the required parallelogram. Let us write the measures of each side. Now we know MO is equal to 4.5 centimeters, OR is equal to 6 centimeters, RE is equal to 4.5 centimeters, ME is equal to 6 centimeters and OE is equal to 7.5 centimeters. So this is our required construction. This completes the session. Hope you understood the solution. Take care and have a nice day.