Area of Isosceles Trapezium

Q.

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

1. 150 cm²

2. 180 cm²

3. Data insufficient

4. 234 cm²

Q.

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c{m}^2$, find the length of CD in cm.

1. 25

2. 50

3. 75

4. 100

Q.

The cross-section of a trough of height 36 cm is an isosceles trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c{m}^2$, then find the length of CD in cm.

1. 25

2. 50

3. 75

4. 100

Q. Find the area of the given trapezium.

1. 250 $m^2$
2. 152 $m^2$
3. 148 $m^2$
4. 130 $m^2$

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. find the length of the larger side.
[2 marks]

Q.

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

1. Data insufficient

2. 180 cm²

3. 150 cm²

4. 234 cm²

Q.

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

1. $2688c{m}^2$

2. $1244c{m}^2$

3. $1144c{m}^2$

4. $2644c{m}^2$

Q. Construct a trapezium ABCD with dimesions: $AB=6cm,AD=4cm,CD=3cm$, $\angle DAB={90}^o$, and $AB\parallel CD$. Find the perimeter of the trapezium ABCD (in cm).

1. $20$
2. $16$
3. $14$
4. None of these

Q.

The cross-section of a trough of depth 36 cm is a trapezium ABCD where AB = 50 cm as shown. If the area of ABCD is 2250 $c{m}^2$, find the length of CD in cm.

1. 25 cm

2. 50 cm

3. 75 cm

4. 100 cm

Q. Find the area of the figure shown above.

1. $20$ $c{m}^2$
2. $21$ $c{m}^2$
3. $24$ $c{m}^2$
4. $42$ $c{m}^2$

Q. The area of a trapezium is $105{\text{cm}}^2.$ If one of the parallel sides is $28$ cm and the distance the parallel sides is $5$ cm, find the length of the other parallel side.

Q. Find the area of a trapezium whose parallel sides are of length 10 cm and 6 cm respectively and the perpendicular distance between the two parallel sides is 4.5 cm. ( in $c{m}^2$)

Q. The area of the trapezium is $34$ sq cm and the length of one of the parallel side is $10$ cm and its height is $4$ cm. Find the length of the parallel side.