If the sum of the parallel sides of the trapezium is 30 cm and height 12 cm then what is the area of this trapezium

If the sum of the parallel sides of the trapezium is 30 cm and height

1.	If the sum of the parallel sides of the trapezium is 30 cm and height 12 cm then what is the area of this trapezium
Answer» :-The area of trapezium is 180cm².Step-by-step explanation ::To Find :-The area of trapeziumSolution :-Given that,The sum of the parallel sides of trapezium= 30cmHeight of trapezium = 12cmAs we know that,Area of trapezium = 1/2 × ( a + b ) × h,Where,a and b are the two parallel sides of trapeziumh is the HEIGHT [ distance between the parallel sides ]=> Area of trapezium = 1/2 × ( 30 ) × 12=> Area = 1/2 × 30 × 12 .... DIVIDING 12 and 2 with 2,=> Area = 1 × 30 × 6=> Area = 30 × 6=> Area = 180The area of trapezium is 180cm².More InformationSome more important formulas & properties related to trapezium :-Properties of an irregular trapezium :-One pair of opposite sides is parallel.Two pairs of adjacent angles ( which form a pair of consecutive INTERIOR angles ) are SUPPLEMENTARY [ 180° ]Formulas :-Perimeter of trapezium = Sum of all sides of trapezium.Area of trapezium = 1/2 × ( sum of all parallel sides ) × distance between them