Area of Trapezium by Division into Shapes of Known Area

Q. Question 2
The area of a trapezium is $34c{m}^2$ and the length of one of the parallel sides is 10 cm and Its height is 4 cm. Find the length of the other parallel side.

Q. Question 3
Length of the fence of a trapezium-shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

Q. Explain how this figure is a trapezium. Which of its two sides are parallel?

Q.

The area of a trapezium shaped field is 480 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The length of the other parallel side is ______ .

1. 33 m

2. 44 m

3. 22 m

4. 11 m

Q.

The area of a trapezium with equal non-parallel sides is $168m^2$. If the lengths of the parallel sides are $36m$ and $20m$, then find the length of the non-parallel sides.

Q. Question 8
Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500m^2$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Q.

if the length of the parallel sides of a trapezium are 17/2, 6cm and height is 5cm find the area of trapezium

Q.

The diagonals of a parallelogram are represented by $R_1=3i+2j-7k$ and $R_2=5i+6j-3k$. Find the area of parallelogram.

Q. Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.

Q. The area of a Trapezium is 248 sq metre and its height is 8m if one of the parallel sides is smaller than other by 4 m, find two parallel sides.

Q. The parallel sides of the trapezium are 40 cm and 16 cm .itsnon parralel sides are 13 cm each. Find the area of the trapezium

Q.

You are making an umbrella that is shaped like a regular octagonal pyramid.

(a) Estimate the amount of fabric that you need to make the umbrella.

(b) The fabric comes in rolls that are 60 inches wide. Draw a diagram of how you can cut the fabric from rolls that are 10 feet long.

(c) How much fabric is wasted?

Q.

Area of the field shown in the figure given below is:

1. $70c{m}^2$

2. $75c{m}^2$

3. $68c{m}^2$

4. $72c{m}^2$

Q. 19. The parallel sides of a Trapezium are 40 cm and 70 cm. if the non parallel sides are equal is being 25 centimetre, find the area of a Trapezium

Q.

Find the area of the trapezium shown below:

Q. In the given figure, ABCD is a field in the form of a quadrilateral whose sides are indicated. If $\angle DAB={90}^{\circ }$ and $DC||AB$. The area of field is :

1. $306m^2$
2. $307m^2$
3. $309m^2$
4. $308m^2$

Q.

Find the area of a trapezium with the parallel sides 24 centimetres and 18 centimetres long and the distance between them, 16 centimetres.

Q. If area of trapezium is 45cm² if distance betweebetween parallel sides is 6cm and of the parallel sides is 10cm. Find the other??

Q. The area of a Trapezium is 182 CM square its height is 14 centimetre the larger parallel side is longer than the other by 16 centimetre find the length of the parallel sides

Q.

Find the altitude of a trapezium whose area is 65cm² and whose bases are 13cm and 26cm

Q.

In the trapezium ABCD shown below, AB and CD are parallel. Using the given measurements (in centimetres), find its area:

Q.

The area of a trapezium of height $3cm$ is $12c{m}^2$ . If one of the parallel side is $3cm$, then find the other side.

Q. The Area of trapezium is $16{cm}^2$. Length of one parallel side is $5cm$ and distance between two parallel sides is $4cm$. Find the length of the other parallel side.

Q. The area of a trapezium is 180 cm² and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.

Q.

Find the area of the shaded portion in the following figures.

1. $12946c{m}^2$
2. $13346c{m}^2$
3. $13046c{m}^2$
4. $13246c{m}^2$

Q. The parallel sides of a trapezium are 25 cm and 11 cm, while its nonparallel sides are 15 cm and 13 cm. Find the area of the 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 each section of the frame, if the width of each section is same.

Q. The length of a trapezium shaped feild PQRS is 120 m. If QR=48 cm, RS= 17cm and PS=40, find the area of this field. Side PQ is perpendicular to the parallel sides PS and QR.

Q.

The area of a trapezium is 34 cm² and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Q. Find the area of trapezium whose parallel sides are 24 cm and 20cm and the distance between them is 15cm