Question

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 1

Answer :-

• The area of trapezium is 180cm².

Step-by-step explanation ::

To Find :-

• The area of trapezium

Solution :-

Given that,

• The sum of the parallel sides of trapezium= 30cm
• Height of trapezium = 12cm

As we know that,

Area of trapezium = 1/2 × ( a + b ) × h,

Where,

• a and b are the two parallel sides of trapezium
• h 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 = 180

The area of trapezium is 180cm².

More Information

Some 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