Scroll:Measurements >> Trapezium >> saq (4463)

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)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 32 cm,  parallel sides = 3 cm and 7 cm.

cm2


Answer:_______________




2)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 50 cm,  parallel sides = 4 cm and 6 cm.

cm2


Answer:_______________




3)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 16 cm,  parallel sides = 3 cm and 9 cm.

cm2


Answer:_______________




4)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 22 cm,  parallel sides = 5 cm and 6 cm.

cm2


Answer:_______________




5)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 38 cm,  parallel sides = 3 cm and 7 cm.

cm2


Answer:_______________




6)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 46 cm,  parallel sides = 4 cm and 8 cm.

cm2


Answer:_______________




7)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 30 cm,  parallel sides = 5 cm and 6 cm.

cm2


Answer:_______________




8)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 40 cm,  parallel sides = 2 cm and 9 cm.

cm2


Answer:_______________




9)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 30 cm,  parallel sides = 2 cm and 9 cm.

cm2


Answer:_______________




10)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 40 cm,  parallel sides = 4 cm and 6 cm.

cm2


Answer:_______________




 

1)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 32 cm,  parallel sides = 3 cm and 7 cm.

Answer: 160 cm2


SOLUTION 1 :

Given:

h = 32 cm, a = 3, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 32 x (3 + 7)

                             = 1/ 2 x 32 16x 10

             Area of trapezium = 160 cm2.

 

 

 



2)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 50 cm,  parallel sides = 4 cm and 6 cm.

Answer: 250 cm2


SOLUTION 1 :

Given:

h = 50 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 50 x (4 + 6)

                             = 1/ 2 x 50 25x 10

             Area of trapezium = 250 cm2.

 

 

 



3)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 16 cm,  parallel sides = 3 cm and 9 cm.

Answer: 96 cm2


SOLUTION 1 :

Given:

h = 16 cm, a = 3, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 16 x (3 + 9)

                             = 1/ 2 x 16 8x 12

             Area of trapezium = 96 cm2.

 

 

 



4)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 22 cm,  parallel sides = 5 cm and 6 cm.

Answer: 121 cm2


SOLUTION 1 :

Given:

h = 22 cm, a = 5, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 22 x (5 + 6)

                             = 1/ 2 x 22 11x 11

             Area of trapezium = 121 cm2.

 

 

 



5)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 38 cm,  parallel sides = 3 cm and 7 cm.

Answer: 190 cm2


SOLUTION 1 :

Given:

h = 38 cm, a = 3, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 38 x (3 + 7)

                             = 1/ 2 x 38 19x 10

             Area of trapezium = 190 cm2.

 

 

 



6)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 46 cm,  parallel sides = 4 cm and 8 cm.

Answer: 276 cm2


SOLUTION 1 :

Given:

h = 46 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 46 x (4 + 8)

                             = 1/ 2 x 46 23x 12

             Area of trapezium = 276 cm2.

 

 

 



7)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 30 cm,  parallel sides = 5 cm and 6 cm.

Answer: 165 cm2


SOLUTION 1 :

Given:

h = 30 cm, a = 5, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 30 x (5 + 6)

                             = 1/ 2 x 30 15x 11

             Area of trapezium = 165 cm2.

 

 

 



8)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 40 cm,  parallel sides = 2 cm and 9 cm.

Answer: 220 cm2


SOLUTION 1 :

Given:

h = 40 cm, a = 2, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 40 x (2 + 9)

                             = 1/ 2 x 40 20x 11

             Area of trapezium = 220 cm2.

 

 

 



9)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 30 cm,  parallel sides = 2 cm and 9 cm.

Answer: 165 cm2


SOLUTION 1 :

Given:

h = 30 cm, a = 2, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 30 x (2 + 9)

                             = 1/ 2 x 30 15x 11

             Area of trapezium = 165 cm2.

 

 

 



10)  

The area of a trapezium whose altitudes and parallel sides are given below:

altitude = 40 cm,  parallel sides = 4 cm and 6 cm.

Answer: 200 cm2


SOLUTION 1 :

Given:

h = 40 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 40 x (4 + 6)

                             = 1/ 2 x 40 20x 10

             Area of trapezium = 200 cm2.