 Hello and welcome to the session. In this session we will discuss a question which says that add and view a scale drawing of a rectangular garden having a path for the joggers. Using scale 1 inch is equal to 5 meters. The dimensions of the scale drawing are length of garden is 12 inches, width of garden is 9 inches, width of upper green area is 3 inches, width of path is again 3 inches, and width of lower green area is 3 inches. Now we have to regain the garden using scale of 1 inch is equal to 15 meters. Now let us start with the solution of the given question. Now in this question we are given the scale drawing of a rectangular garden using scale 1 inch is equal to 5 meters. So given scale is equal to 1 inch upon 5 meters and we have to recreate the garden using scale is equal to 1 inch upon 15 meters. Now first of all let us compare the measurements in original scale drawing to the measurements in the new scale drawing. Now let us take a line segment which represents the length of 1 upon 5. Now if we divide this line segment in 3 equal parts then here each part will be 1 third of 1 by 5 which is equal to 1 upon 15. So here length of each part is 1 upon 15. Now here original scale factor is given to us as 1 inch upon 5 meters and new scale factor is 1 inch upon 15 meters. It means that new scale factor is one third of original scale factor. So the new drawing that is the drawing using the new scale factor is one third of the length of original drawing that is the drawing using the original scale factor. Now measurements of original scale drawing are given to us. Now we have to draw the same garden using the scale 1 inch is equal to 15 meters. Now as the new drawing is one third of the length of original drawing. So we will multiply the measurement of original scale drawing by 1 upon 3 to get the measurement of new scale drawing. So we have drawn a table and here in the first column we have written the original drawing measurements and in the second column we will find the new scale drawing measurements. Now let us multiply each of the original drawing measurement by 1 upon 3. Now here length of garden is 12 inches. So length of garden in new scale drawing will be 12 into 1 upon 3 which is equal to 4 inches. Now here width of garden in new scale drawing will be 9 into 1 upon 3 which is equal to 3 inches. Now width of upper green area in new scale drawing will be 3 into 1 upon 3 which is equal to 1 inch. Similarly width of path and width of lower green area in new scale drawing will be 1 inch. So here we have obtained the new scale drawing measurements. And this is the new scale drawing using the scale 1 inch is to 15 meters and this new scale drawing is one third the length of original scale drawing. So we have recreated the garden using scale 1 inch is equal to 15 meters. And this is the solution of the given question. Let us hope for the session. Hope you all have enjoyed the session.