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Solving Problems involving trapezium area

In a trapezium PQRS, PQ || RS, ∠P : ∠S = 3 : 2 and ∠Q : ∠R = 4 : 5. Find the angle ∠Q of the trapezium.

The parallel sides of a trapezium are 25 m and 10 m and the non-parallel sides are 14 m and 13 m. Calculate the the area of the trapezium.

The perimeter of a trapezium is 58 cm, and the sum of its non-parallel sides is 20 cm. If its area is 152 cm2, then what is the distance between the parallel sides?


ABCD is a trapezium, such that AD and BC are the parallel sides. If ∠B – ∠A = 40° and ∠C – ∠D = 20°, then find the value of ∠B + ∠C.

If the perimeter of a trapezium is 52 cm, its non-parallel sides are equal to 10 cm each, and its altitude is 8 cm, find the trapezium area.


If the area of a trapezium is 28 cm2 , and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.

The parallel sides of a trapezium are 25 m and 10 m and the non-parallel sides are 14 m and 13 m. Calculate the distance between the parallel sides.

The area of a trapezium is 384 cm2. Its parallel sides are in the ratio 3 : 5, and the perpendicular distance between them is 12 cm. Find the length of each one of the parallel sides.


if the perimeter of a trapezium is 32 units, whose three sides are 3 units, 8 units and 10 units. Find the measure of the fourth side.


In a trapezium PQRS, PQ || RS, ∠P : ∠S = 3 : 2 and ∠Q : ∠R = 4 : 5. Find the angle ∠P of the trapezium.