Area of Trapezium by Division into Shapes of Known Area

Q.

Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides is 28 cm. Find the area of the trapezium.

1. $1344c{m}^2$

2. $1244c{m}^2$

3. $1144c{m}^2$

4. $1044c{m}^2$

Q.

Find the area of the figure given below.

1. h(a+b)sq. units

2. 2h(a+b) sq.units

3. h sq.units

4. Can't be determined

Q.

The area of trapezium = $\frac{1}{2}$ × (length of the base × distance between two parallel lines).

1. True

2. False

Q.

What will you get if you join following three figures (in the same order and orientation as it is shown)?

__

Q.

The parallel sides of a trapezium are 25 cm and 11 cm. The perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

1. $150c{m}^2$
2. $180c{m}^2$
3. $234c{m}^2$
4. $250c{m}^2$

Q. The area of a trapezium is 1586 cm² and the distance between its parallel sides is 26 cm. If the length of one of the parallel sides is 84 cm, then find the length of other parallel side.

1. 38 cm
2. 23 cm
3. 25 cm
4. 42 cm

Q.

A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 $m^2$ and the lengths of its parallel sides are 55.6 m and 34.4 m. Find the length of the bridge.

1. 24 m
2. 48 m
3. 56 m
4. 12 m

Q.

Find the area of a trapezium if the distance between its parallel sides is 26 cm and one of the parallel sides is 84 cm long, the other parallel side is half of the perpendicular distance between the parallel sides.

1. 1430 $c{m}^2$​
2. 1225 $c{m}^2$​
3. 1261 $c{m}^2$​
4. 1216 $c{m}^2$

Q.

A trapezium has an area of 570 cm². The height of the trapezium is 5 cm and the larger parallel side is twice in length as the smaller parallel side.Choose the correct option.

1. Length of the larger side is 152 cm

2. Length of the smaller side is 76cm

3. Length of the smaller side is 38 cm
4. Length of the larger side is 76 cm

Q.

The area of a trapezium shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the length of the other parallel side.

1. 40m

2. 50m

3. 60m

4. 70m