Area of Trapezium

Q. The two non-parallel sides of isosceles trapezium are .

1. equal
2. non-equal
3. infinite

Q. Area of a trapezium is 24 $c{m}^2$, one of its parallel sides is 5 cm and if the distance between the parallel sides is 6 cm, find the length of other parallel side.

1. 2 cm
2. 3 cm
3. 4 cm
4. 6 cm

Q. A building is in the shape of quadrilateral ABCD. Find its area if its parallel sides are 10 m and 8 m respectively, and its base is of length 5 m.

1. 40 $m^2$
2. 45 $m^2$
3. 50 $m^2$
4. 60 $m^2$

Q. In given frame (shaded region), the length and breadth of inner rectangle PQRS are 4 cm and 2 cm respectively, find the area of the frame if width of the frame is 2 cm throughout.

1. 24 $c{m}^2$
2. 32 $c{m}^2$
3. 40 $c{m}^2$
4. 48 $c{m}^2$

Q. Find the length of the parallel sides of a trapezium, which are in the ratio 1:2, if its height is 2 cm and area is 18$c{m}^2$.

1. 5 cm, 10 cm
2. 6 cm, 12 cm
3. 7 cm, 14 cm
4. 8 cm, 16 cm

Q. If sum of the parallel sides of a trapezium is 12 cm and height of the trapezium is 5 cm, find its area.

1. 17 $c{m}^2$
2. 30 $c{m}^2$
3. 34 $c{m}^2$
4. 60 $c{m}^2$

Q. If we are using area of trapezium to find area of parallelogram then the parallel sides of trapezium are .

1. equal
2. different
3. non - parallel

Q. Parallel sides of a trapezium are in the ratio 2:3 and if its height is half the length of smaller parallel side, then find the lengths of parallel sides if area of the trapezium is 40 $c{m}^2.$

1. 4 cm, 6 cm
2. 6 cm, 9 cm
3. 8 cm, 12 cm
4. 10 cm, 15 cm

Q. Find the area of given figure, if AB = EF = 12 cm, CD = 10 cm and PQ = QR = 5 cm.

1. 55 $c{m}^2$
2. 110 $c{m}^2$
3. 60 $c{m}^2$
4. 220 $c{m}^2$

Q. In the given trapezium ABCE, ED = 10 cm, DC = 15 cm, find the length of AB, if area of $△$ADE is one-third of area of trapezium ABCD.

1. 2 cm
2. 4 cm
3. 5 cm
4. 6 cm