Area of Trapezium by Finding the Area of a Triangle of Same Area

Q.

The areas of figure 1 (in $c{m}^2$​) and figure 2 (in $c{m}^2$​) are __ and __ respectively.

1. $21c{m}^2$, $21c{m}^2$
2. $41c{m}^2$, $41c{m}^2$
3. $31c{m}^2$, $35c{m}^2$
4. $11c{m}^2$, $10c{m}^2$

Q.

A quadrilateral has an area of 453.6 $c{m}^2$. The length of a diagonal is 42 cm and the perpendicular distance from one vertex is 10 cm. Find the perpendicular distance from the other vertex (in cm). ___​

Q.

An isosceles trapezium has an area of 36 cm², the parallel sides are 12 cm and 6 cm respectively. The perimeter of the trapezium should be

1. 28 cm

2. 32 cm

3. 24 cm

4. 20 cm

Q.

Area of a trapezium is 160 sq cm and the height is 10 cm . Find the sum of its two parallel sides.

1. 16 cm

2. 12 cm

3. 16 cm

4. 32 cm

Q. Opposite sides are parallel in a trapezium.

1. True
2. False

Q. The height of the trapezium having area as 36cm2 and parallel side as 10 cm and 8 cm is

1. 2 cm
2. 4 cm
3. 6 cm
4. 8 cm

Q. Arrange the trapeziums in decreasing order(from top) of its area for given sum of parallel sides and altitude.

1. 24, 10
2. 18, 12
3. 20, 8
4. 22, 14

Q. Find area of a trapezium whose parallel sides measure 58 cm and 42 cm, and the two equal sides measure 17 cm.

1. 750

Q.

Area of a trapezium is 160 sq cm and the height is 10 cm . Find the sum of its two parallel sides.

1. 12 cm

2. 16 cm

3. 32 cm

4. 24 cm

Q. Area of a trapezium = $2h\times (a+b)$
where h is the distance between the parallel sides a and b.

1. True
2. False