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 = 20 cm,  parallel sides = 2 cm and 9 cm.

cm2


Answer:_______________




2)  

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

altitude = 24 cm,  parallel sides = 4 cm and 8 cm.

cm2


Answer:_______________




3)  

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

altitude = 42 cm,  parallel sides = 5 cm and 7 cm.

cm2


Answer:_______________




4)  

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

altitude = 26 cm,  parallel sides = 4 cm and 6 cm.

cm2


Answer:_______________




5)  

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

altitude = 42 cm,  parallel sides = 4 cm and 8 cm.

cm2


Answer:_______________




6)  

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

altitude = 14 cm,  parallel sides = 2 cm and 6 cm.

cm2


Answer:_______________




7)  

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

altitude = 28 cm,  parallel sides = 4 cm and 9 cm.

cm2


Answer:_______________




8)  

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

altitude = 10 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 = 22 cm,  parallel sides = 3 cm and 8 cm.

cm2


Answer:_______________




10)  

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

altitude = 44 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




 

1)  

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

altitude = 20 cm,  parallel sides = 2 cm and 9 cm.

Answer: 110 cm2


SOLUTION 1 :

Given:

h = 20 cm, a = 2, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 20 x (2 + 9)

                             = 1/ 2 x 20 10x 11

             Area of trapezium = 110 cm2.

 

 

 



2)  

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

altitude = 24 cm,  parallel sides = 4 cm and 8 cm.

Answer: 144 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (4 + 8)

                             = 1/ 2 x 24 12x 12

             Area of trapezium = 144 cm2.

 

 

 



3)  

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

altitude = 42 cm,  parallel sides = 5 cm and 7 cm.

Answer: 252 cm2


SOLUTION 1 :

Given:

h = 42 cm, a = 5, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 42 x (5 + 7)

                             = 1/ 2 x 42 21x 12

             Area of trapezium = 252 cm2.

 

 

 



4)  

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

altitude = 26 cm,  parallel sides = 4 cm and 6 cm.

Answer: 130 cm2


SOLUTION 1 :

Given:

h = 26 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 26 x (4 + 6)

                             = 1/ 2 x 26 13x 10

             Area of trapezium = 130 cm2.

 

 

 



5)  

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

altitude = 42 cm,  parallel sides = 4 cm and 8 cm.

Answer: 252 cm2


SOLUTION 1 :

Given:

h = 42 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 42 x (4 + 8)

                             = 1/ 2 x 42 21x 12

             Area of trapezium = 252 cm2.

 

 

 



6)  

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

altitude = 14 cm,  parallel sides = 2 cm and 6 cm.

Answer: 56 cm2


SOLUTION 1 :

Given:

h = 14 cm, a = 2, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 14 x (2 + 6)

                             = 1/ 2 x 14 7x 8

             Area of trapezium = 56 cm2.

 

 

 



7)  

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

altitude = 28 cm,  parallel sides = 4 cm and 9 cm.

Answer: 182 cm2


SOLUTION 1 :

Given:

h = 28 cm, a = 4, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 28 x (4 + 9)

                             = 1/ 2 x 28 14x 13

             Area of trapezium = 182 cm2.

 

 

 



8)  

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

altitude = 10 cm,  parallel sides = 2 cm and 9 cm.

Answer: 55 cm2


SOLUTION 1 :

Given:

h = 10 cm, a = 2, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 10 x (2 + 9)

                             = 1/ 2 x 10 5x 11

             Area of trapezium = 55 cm2.

 

 

 



9)  

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

altitude = 22 cm,  parallel sides = 3 cm and 8 cm.

Answer: 121 cm2


SOLUTION 1 :

Given:

h = 22 cm, a = 3, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 22 x (3 + 8)

                             = 1/ 2 x 22 11x 11

             Area of trapezium = 121 cm2.

 

 

 



10)  

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

altitude = 44 cm,  parallel sides = 2 cm and 7 cm.

Answer: 198 cm2


SOLUTION 1 :

Given:

h = 44 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 44 x (2 + 7)

                             = 1/ 2 x 44 22x 9

             Area of trapezium = 198 cm2.