Formula for Area of Trapezium

Q. Diagram of the adjacent picture frame has outer dimensions = 24 cm $\times$ 28 cm and inner dimensions 16 cm $\times$ 20 cm. Find the area of Section BEFC of the frame, if the width of each section is same.

Q.

In a trapezium, the product of the sum of the parallel sides is 10 cm and the distance between them is 2 cm. The area of the trapezium will be _____

1. 10 sq cm

2. 20 sq cm

3. 40 sq cm

4. 5 sq cm

Q.

A trapezium has an area of 570 cm². The height of the trapezium is 5 cm and the longer parallel side is twice the length of the shorter parallel side. Select the statements that hold true.

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.

Find the area of the figure below which is made of two equal trapeziums. Two parallel sides of a trapezium are of lengths 57 cm and 39 cm. The distance between the parallel sides AB and FC is 28 cm.

1. 

2. 

3. 

4. 

Q.

The larger trapezium is made up of the four smaller trapeziums which are equal in size. If FD = 48 cm, then, select the statements that are true.

1. FE = ED

2. DC = AB

3. DC = 2AB

4. FE = 24 cm

Q.

The distance between the two parallel sides in a trapezium is 'd' cm and the parallel sides are 'a' cm and 'b' cm. Area = _____ sq cm

1. 0.5(a+b)d

2. 0.3(a+b)d

3. 10(a+b)d

4. 5(a+b)d

Q.

The area of a trapezium whose sum of parallel sides is 25 cm and height is 8 cm is ____ sq cm.

1. 8000 Square Feet

2. 3600 Square Feet

3. 5400 Square Feet

4. 9600 Square Feet

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. $11c{m}^2$, $10c{m}^2$

3. $41c{m}^2$, $41c{m}^2$

4. $31c{m}^2$, $35c{m}^2$

Q.

The area of a trapezium is _____ the product of the sum of the parallel sides and the distance between them.

1. one- third

2. half

3. one-fifth

4. one-fourth

Q.

ABCD is a trapezium. P is the midpoint of BC. AB = 14 cm, DC = 6 cm. The distance between AB and CD is 8 cm. Find the area of the triangle AQD.

1. 10 square cm.

2. 80 square cm.

3. 90 square cm.

4. 50 square cm.