Area of a Trapezium

Q. Find the area of the field. All dimensions are in metres. (4 marks)

Q.

I have a tumbler. What shape do I see if I look at the tumbler from its left or right side? What shape do I see if I look at the tumbler from the top? Discuss briefly about both these

Q. Find the height of the trapezium having area as 72 $c{m}^2$ and parallel sides as 12 $cm$ and 6 $cm$.
(2 marks)

Q.

The sides of a triangle are $11m,60m$ and $61m.$ The altitude to the smallest side is

1. $11m$
2. $66m$
3. $50m$
4. $60m$

Q. Here is a figure of a playground of trapezium-shaped. Find the area of the playground.

[4 marks]

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, the other parallel side is half of the perpendicular distance between the parallel sides.

1. Data insufficient

2. 1261 ​

3. 1430 ​

4. 1225 ​

Q.

Look at this pattern of trapezium made with matchsticks and answer the following questions. How many matchsticks do you think are needed to make:

5 trapeziums

Q. The cross-section of a cannel is a trapezium in shape. If the canal is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 560 sq m, the depth of canal is:

1. 14 m
2. 28 m
3. 56 m
4. 112 m

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.

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

Q. The area of a trapezium is $540c{m}^2$, if the ratio of parallel sides is $7:5$ and the distance between them is $18cm$ find the length of parallel sides .

Q. Find the area of the field. All dimensions are in metres.


[4 marks]

Q. Find the height of the trapezium having area as 36 $c{m}^2$ and parallel sides as 10 $cm$ and 8 $cm$.
(2 marks)

Q. The area of a trapezium (in sq. cm) whose parallel sides are 10 cm and 20 cm and the perpendicular distance between them is 5 cm is ___

Q.

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

1. True

2. False

Q.

Which geometrical figure do we obtain by joining the following three figures (in the same order and orientation as shown below)?

__

Q. Find the area of a trapezium whose parallel sides are 14 cm and 16 cm long, and the height is 12 cm long.

1. 120 sq cm
2. 90 sq cm
3. 180 sq cm
4. 150 sq cm

Q. The area of a trapezium is $182c{m}^2$. Its height is $14cm$. The larger parallel side is longer than the other by $16cm$. Find the length of the parallel sides.

Q. Top surface of a raised platform is in the shape of a rectangular octagon as shown in the figure. Find the area of the octagon surface.

Q.

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

__

Q.

Find the area of the field. All dimensions are in metres.

Q. $3a(p-2q)-b(p-2q)$

Q. Find the area of a trapezium whose parallel sides are 14 cm and 16 cm long, and the height is 12 cm long.

1. 120 sq cm
2. 90 sq cm
3. 180 sq cm
4. 150 sq cm

Q. Find the area enclosed by each of the following figures.

Q.

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

Q. The perimeter of a trapezium is $52$ cm and its non-parallel sides are each equal to $10$ cm and its altitude is $8$ cm. Its area is

1. $128c{m}^2$
2. $112c{m}^2$
3. $118c{m}^2$
4. $124c{m}^2$