There was a land near a locality in the shape of a trapezium ABCD. The residents of the locality, with the permission of the concerned authorities decided to fence the land and convert it into a park with shady trees, plants and small herbal garden. The length of the parallel sides AB and DC of the land are 12 m and 28 m respectively and the non-parallel sides AD and BC are of equal length which is 10 m. The Park is divided into three parts by drawing two altitudes AE and BF. 12 m B D 10 m 10 m C E 28 m F Based on the above information answer the following questions: I. What is the perimeter of the park? II. What is the length of DE? III. What is the length of the altitude of the trapezium ABCD?
