Scroll:Measurements >> Trapezium >> saq (4467)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

Area of a trapezium is 730 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




2)  

Area of a trapezium is 750 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




3)  

Area of a trapezium is 740 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




4)  

Area of a trapezium is 870 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




5)  

Area of a trapezium is 750 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




6)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




7)  

Area of a trapezium is 760 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




8)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




9)  

Area of a trapezium is 920 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




10)  

Area of a trapezium is 980 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




 

1)  

Area of a trapezium is 730 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

Answer: 18.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 730 cm2

                             a = 40cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          730 = 12 x h x (40 + 40)

                          730 =  1/ 2 x h x 8040

                          73040 = h    ( dividing by 40, on both the sides )

                           18.3 = h 

Hence, the height of the trapezium is 18.3 cm.

 



2)  

Area of a trapezium is 750 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

Answer: 21.4 cm.


SOLUTION 1 :

Given,

Area of trapezium = 750 cm2

                             a = 30cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          750 = 12 x h x (30 + 40)

                          750 =  1/ 2 x h x 7035

                          75035 = h    ( dividing by 35, on both the sides )

                           21.4 = h 

Hence, the height of the trapezium is 21.4 cm.

 



3)  

Area of a trapezium is 740 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 18.5 cm.


SOLUTION 1 :

Given,

Area of trapezium = 740 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          740 = 12 x h x (30 + 50)

                          740 =  1/ 2 x h x 8040

                          74040 = h    ( dividing by 40, on both the sides )

                           18.5 = h 

Hence, the height of the trapezium is 18.5 cm.

 



4)  

Area of a trapezium is 870 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 21.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 870 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          870 = 12 x h x (30 + 50)

                          870 =  1/ 2 x h x 8040

                          87040 = h    ( dividing by 40, on both the sides )

                           21.8 = h 

Hence, the height of the trapezium is 21.8 cm.

 



5)  

Area of a trapezium is 750 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 15.0 cm.


SOLUTION 1 :

Given,

Area of trapezium = 750 cm2

                             a = 40cm, b = 60cm.  h =

Area of trapezium = 12 x h (a+b)

                          750 = 12 x h x (40 + 60)

                          750 =  1/ 2 x h x 10050

                          75050 = h    ( dividing by 50, on both the sides )

                           15.0 = h 

Hence, the height of the trapezium is 15.0 cm.

 



6)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

Answer: 24.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 850 cm2

                             a = 30cm, b = 40cm.  h =

Area of trapezium = 12 x h (a+b)

                          850 = 12 x h x (30 + 40)

                          850 =  1/ 2 x h x 7035

                          85035 = h    ( dividing by 35, on both the sides )

                           24.3 = h 

Hence, the height of the trapezium is 24.3 cm.

 



7)  

Area of a trapezium is 760 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 19.0 cm.


SOLUTION 1 :

Given,

Area of trapezium = 760 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          760 = 12 x h x (30 + 50)

                          760 =  1/ 2 x h x 8040

                          76040 = h    ( dividing by 40, on both the sides )

                           19.0 = h 

Hence, the height of the trapezium is 19.0 cm.

 



8)  

Area of a trapezium is 850 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 21.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 850 cm2

                             a = 30cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          850 = 12 x h x (30 + 50)

                          850 =  1/ 2 x h x 8040

                          85040 = h    ( dividing by 40, on both the sides )

                           21.3 = h 

Hence, the height of the trapezium is 21.3 cm.

 



9)  

Area of a trapezium is 920 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

Answer: 20.4 cm.


SOLUTION 1 :

Given,

Area of trapezium = 920 cm2

                             a = 40cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          920 = 12 x h x (40 + 50)

                          920 =  1/ 2 x h x 9045

                          92045 = h    ( dividing by 45, on both the sides )

                           20.4 = h 

Hence, the height of the trapezium is 20.4 cm.

 



10)  

Area of a trapezium is 980 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

Answer: 21.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 980 cm2

                             a = 40cm, b = 50cm.  h =

Area of trapezium = 12 x h (a+b)

                          980 = 12 x h x (40 + 50)

                          980 =  1/ 2 x h x 9045

                          98045 = h    ( dividing by 45, on both the sides )

                           21.8 = h 

Hence, the height of the trapezium is 21.8 cm.