Area of Trapezium by Cutting into Convenient Shapes

Q.

The length of the parallel sides of a trapezium are in the ratio 3: 2 and the distance between them is 10 cm. If the area of the trapezium is 325 cm², find the length of the parallel sides.

1. a = 30 , b = 26
2. a = 20 , b = 40
3. a = 26 , b = 39
4. a = 40 , b = 20

Q.

ABCD is a rectangle and EGF is a right angled triangle with angle EGF = 90 degrees. Find the area of trapezium AFED.

1. $120c{m}^2$
2. $140c{m}^2$
3. $100c{m}^2$
4. $180c{m}^2$

Q.

The area of a trapezium is $90c{m}^2.$ If its height is 6 cm and one of the parallel sides measures 20 cm, then the length of the other parallel side is ___ cm.

1. 10

2. 15

3. 20

4. 30

Q.

Area of the given figure (in $c{m}^2$​) is ___. Given: AB=CD

1. $21c{m}^2$

2. $11c{m}^2$

3. $41c{m}^2$

4. $31c{m}^2$

Q.

The area of a trapezium is $440c{m}^2$. The lengths of the parallel sides are 60 cm and 28 cm respectively. The distance between the parallel sides is____ cm.

1. 10

2. 15

3. 6

4. 8

Q.

A pond is in shape of trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of the 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. Data insufficient

2. 24 m

3. 48 m

4. 50m

Q.

Which of the following polygon has the formula $\frac{1}{2}$ {(sum of parallel sides) × h} for the area?

1. Area of trapezium

2. Area of rectangle

3. Area of rhombus

4. Area of square

Q.

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

1. Square

2. Can't say

3. Trapezium

4. Rectangle

Q.

Hermaan drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

1. Parallelogram

2. Square

3. Rectangle

4. Trapezium

Q.

EF divides the rectangle ABCD in two parts of equal area.

1. False

2. True

Q.

The area of a trapezium is $90c{m}^2.$ If its height is 6 cm and one of the parallel sides measures 20 cm, then the length of the other parallel side is ___ cm.

1. 10

2. 18

3. 20

4. 15

Q. The trapeziums making up the roofing sheet are all of equal area. If the height of one trapezium is 5 m and the sum of their parallel sides is 44 m, find the total area of the roofing sheet in the picture given below.

1. $1320m^2$
2. $1230m^2$
3. $1330m^2$
4. $660m^2$

Q.

A trapezium has an area of $570c{m}^2.$ The height of the trapezium is $5cm$ and the larger parallel side is twice in length of the smaller parallel side. Choose the correct option.

1. Length of the larger parallel side is $152cm$

2. Length of the smaller parallel side is $76cm$

3. Length of the smaller parallel side is $38cm$

4. Length of the larger parallel side is $76cm$

Q. The area of the trapezium REMN, in the above given figure is ______.

1. $42c{m}^2$
2. $42.5c{m}^2$
3. $45.2c{m}^2$
4. $42.2c{m}^2$

Q.

The area of a trapezium is 1586 cm²and the distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm, then find the other parallel side.

1. 38 cm

2. 23 cm

3. 25 cm

4. Data insufficient

Q.

Herman drew a 4 sided figure which had only one pair of parallel sides. What could this figure be?

1. Rectangle

2. Trapezium

3. Square

4. Parallelogram

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. 48 m

2. 24 m

3. 56 m

4. Data insufficient

Q.

Which is the correct formula for the area of a trapezium?

1. $\frac{1}{2}$ × (length of the base + distance between two parallel sides).

2. Twice the length of the base × distance between two parallel sides.

3. $\frac{1}{2}$ × (sum of legths of two parallel sides × distance between two parallel sides).
4. $\frac{2}{5}$ × (length of the base × distance between two parallel sides).

Q.

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

Q.

Area of a trapezium = $\frac{1}{2}\times height\times$ sum of ___ sides.

1. non parallel

2. adjacent

3. none of the above

4. parallel

Q. Find the area of the figure given below.

1. $h\frac{(b+a)}{2}sq.units$

2. $h(a+b)$sq. units

3. $2h(a+b)$ sq.units

4. Can't be determined

Q. A circular pear of radius 4 cm is to be divided into eight equal parts by cutting it in halves along the same axis. Find the area of each of the final piece

1. $25\pi$
2. $20\pi$
3. $2\pi$
4. $19\pi$

Q. A pair of opposite sides of a trapezium is ___ .