the area of a trapezium is 1824 cm sq if the length of its parallel si

1.	the area of a trapezium is 1824 cm sq if the length of its parallel sides is 55 cm and 59 cm find the distance between them
Answer» Question : The AREA of a trapezium is 1824 cm². If the length of its parallel sides are 55 cm and 59 cm, FIND the distance between them. Answer : $\sf\pink{Given:}$ Area of Trapezium is 1824 cm² . Length of one of the parallel SIDE is 55 cm. Length of the other parallel side is 59 cm. $\sf\pink{To\:find:}$ Distance between the parallel side in short height . Explanation : $\sf\red{Area\:of\:Trapezium = \dfrac{1}{2}\times ( a + <klux>B</klux> )\times h )}$ a + b mean sum of parallel sides . $\\ \longrightarrow\sf{ 1824 = \dfrac{1}{2}\times ( 55 + 59 )\times h}$ $\\ \longrightarrow\sf{1824 = \dfrac{1}{2}\times 114\times h}$ $\\ \longrightarrow\sf{ 1824 = 57\times h}$ $\\ \longrightarrow\sf{ h = \dfrac{1824}{57}}$ $\\ \longrightarrow\sf{ h = 32}$ THEREFORE the height or the distant between the parallel sides of the Trapezium is 32 cm .