Area of a Trapezium

Q.

An isosceles trapezium has an area of 36 cm², the parallel sides are 12 cm and 6 cm respectively. The perimeter of the trapezium should be

1. 28 cm

2. 32 cm

3. 24 cm

4. 20 cm

Q. The two parallel sides of a trapezium and the distance between them are in the ratio 5 : 7 : 4. If the area of the trapezium is 216 $c{m}^2$, find its height.

1. 4 cm
2. 2 cm
3. 5 cm
4. 12 cm

Q. The area of a trapezium is 459 cm${}^2$. Its parallel sides are in the ratio 7: 10 and the perpendicular distance between them is 9 cm. Find the length of each of the parallel sides.

Q. Find the perimeter of an isosceles right-angle triangle having an area of 500 $m^2$

Q.

An isosceles trapezium has an area of $36c{m}^2$, the parallel sides are $12cm$ and $6cm$ respectively. The perimeter of the trapezium is

1. 28 cm

2. 20 cm

3. 32 cm

4. 24 cm

Q.

The parallel sides of an isosceles trapezium are in the ratio $2:3$. If its height is $8cm$ and area is $240c{m}^2$, then its perimeter is ____ cm.

1. 96

2. 100

3. 60

4. 80

Q. The area of a trapezium is 459 cm${}^2$. Its parallel sides are in the ratio 7: 10 and the perpendicular distance between them is 9 cm. Find the length of each of the parallel sides.

Q. The parallel sides of a trapezium are 6 cm and 8 cm and the distance between them is 2 cm. Find its area.

1. $14c{m}^2$
   
2. $12c{m}^2$
   
3. $10c{m}^2$
   
4. $9c{m}^2$
   

Q.

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

1. Length of the larger side is 152 cm

2. Length of the smaller 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 a triangle whose sides are $4cm,13cm$ and $15cm$ is

1. $576c{m}^2$
2. $30c{m}^2$
3. $26c{m}^2$
4. $24c{m}^2$

Q. Salma wants to put a lace on the edge of a circular table cover of diameter $1.5$m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs. $15$. (Take $\pi =3.14$)

Q.

Which of the following expressions would you use to find the area of a trapezium?

1. (1/2) x base x height

2. (1/2) x ( sum of parallel sides ) x height of trapezium

3. Product of base and height

4. (1/2) x (sum of non parallel sides ) x height of trapezium