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 800 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




2)  

Area of a trapezium is 930 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 710 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




4)  

Area of a trapezium is 870 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




5)  

Area of a trapezium is 880 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




6)  

Area of a trapezium is 730 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




7)  

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

cm.


Answer:_______________




8)  

Area of a trapezium is 780 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




9)  

Area of a trapezium is 970 cm2. The parallel sides are 30 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 60 cm. Find the distance between the parallel sides.

cm.


Answer:_______________




 

1)  

Area of a trapezium is 800 cm2. The parallel sides are 40 cm and 50 cm. Find the distance between the parallel sides.

Answer: 17.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 800 cm2

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

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

                          800 = 12 x h x (40 + 50)

                          800 =  1/ 2 x h x 9045

                          80045 = h    ( dividing by 45, on both the sides )

                           17.8 = h 

Hence, the height of the trapezium is 17.8 cm.

 



2)  

Area of a trapezium is 930 cm2. The parallel sides are 30 cm and 40 cm. Find the distance between the parallel sides.

Answer: 26.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 930 cm2

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

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

                          930 = 12 x h x (30 + 40)

                          930 =  1/ 2 x h x 7035

                          93035 = h    ( dividing by 35, on both the sides )

                           26.6 = h 

Hence, the height of the trapezium is 26.6 cm.

 



3)  

Area of a trapezium is 710 cm2. The parallel sides are 40 cm and 40 cm. Find the distance between the parallel sides.

Answer: 17.8 cm.


SOLUTION 1 :

Given,

Area of trapezium = 710 cm2

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

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

                          710 = 12 x h x (40 + 40)

                          710 =  1/ 2 x h x 8040

                          71040 = h    ( dividing by 40, on both the sides )

                           17.8 = h 

Hence, the height of the trapezium is 17.8 cm.

 



4)  

Area of a trapezium is 870 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 17.4 cm.


SOLUTION 1 :

Given,

Area of trapezium = 870 cm2

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

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

                          870 = 12 x h x (40 + 60)

                          870 =  1/ 2 x h x 10050

                          87050 = h    ( dividing by 50, on both the sides )

                           17.4 = h 

Hence, the height of the trapezium is 17.4 cm.

 



5)  

Area of a trapezium is 880 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

Answer: 19.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 880 cm2

                             a = 30cm, b = 60cm.  h =

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

                          880 = 12 x h x (30 + 60)

                          880 =  1/ 2 x h x 9045

                          88045 = h    ( dividing by 45, on both the sides )

                           19.6 = h 

Hence, the height of the trapezium is 19.6 cm.

 



6)  

Area of a trapezium is 730 cm2. The parallel sides are 30 cm and 60 cm. Find the distance between the parallel sides.

Answer: 16.2 cm.


SOLUTION 1 :

Given,

Area of trapezium = 730 cm2

                             a = 30cm, b = 60cm.  h =

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

                          730 = 12 x h x (30 + 60)

                          730 =  1/ 2 x h x 9045

                          73045 = h    ( dividing by 45, on both the sides )

                           16.2 = h 

Hence, the height of the trapezium is 16.2 cm.

 



7)  

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

Answer: 24.5 cm.


SOLUTION 1 :

Given,

Area of trapezium = 980 cm2

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

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

                          980 = 12 x h x (40 + 40)

                          980 =  1/ 2 x h x 8040

                          98040 = h    ( dividing by 40, on both the sides )

                           24.5 = h 

Hence, the height of the trapezium is 24.5 cm.

 



8)  

Area of a trapezium is 780 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 15.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 780 cm2

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

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

                          780 = 12 x h x (40 + 60)

                          780 =  1/ 2 x h x 10050

                          78050 = h    ( dividing by 50, on both the sides )

                           15.6 = h 

Hence, the height of the trapezium is 15.6 cm.

 



9)  

Area of a trapezium is 970 cm2. The parallel sides are 30 cm and 50 cm. Find the distance between the parallel sides.

Answer: 24.3 cm.


SOLUTION 1 :

Given,

Area of trapezium = 970 cm2

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

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

                          970 = 12 x h x (30 + 50)

                          970 =  1/ 2 x h x 8040

                          97040 = h    ( dividing by 40, on both the sides )

                           24.3 = h 

Hence, the height of the trapezium is 24.3 cm.

 



10)  

Area of a trapezium is 980 cm2. The parallel sides are 40 cm and 60 cm. Find the distance between the parallel sides.

Answer: 19.6 cm.


SOLUTION 1 :

Given,

Area of trapezium = 980 cm2

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

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

                          980 = 12 x h x (40 + 60)

                          980 =  1/ 2 x h x 10050

                          98050 = h    ( dividing by 50, on both the sides )

                           19.6 = h 

Hence, the height of the trapezium is 19.6 cm.