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 = 24 cm,  parallel sides = 4 cm and 7 cm.

cm2


Answer:_______________




2)  

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

altitude = 30 cm,  parallel sides = 2 cm and 6 cm.

cm2


Answer:_______________




3)  

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

altitude = 24 cm,  parallel sides = 4 cm and 9 cm.

cm2


Answer:_______________




4)  

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

altitude = 36 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 = 28 cm,  parallel sides = 5 cm and 9 cm.

cm2


Answer:_______________




6)  

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

altitude = 44 cm,  parallel sides = 3 cm and 8 cm.

cm2


Answer:_______________




7)  

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

altitude = 12 cm,  parallel sides = 2 cm and 9 cm.

cm2


Answer:_______________




8)  

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

altitude = 44 cm,  parallel sides = 3 cm and 6 cm.

cm2


Answer:_______________




9)  

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

altitude = 48 cm,  parallel sides = 2 cm and 6 cm.

cm2


Answer:_______________




10)  

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

altitude = 46 cm,  parallel sides = 5 cm and 7 cm.

cm2


Answer:_______________




 

1)  

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

altitude = 24 cm,  parallel sides = 4 cm and 7 cm.

Answer: 132 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 4, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (4 + 7)

                             = 1/ 2 x 24 12x 11

             Area of trapezium = 132 cm2.

 

 

 



2)  

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

altitude = 30 cm,  parallel sides = 2 cm and 6 cm.

Answer: 120 cm2


SOLUTION 1 :

Given:

h = 30 cm, a = 2, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 30 x (2 + 6)

                             = 1/ 2 x 30 15x 8

             Area of trapezium = 120 cm2.

 

 

 



3)  

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

altitude = 24 cm,  parallel sides = 4 cm and 9 cm.

Answer: 156 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 4, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (4 + 9)

                             = 1/ 2 x 24 12x 13

             Area of trapezium = 156 cm2.

 

 

 



4)  

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

altitude = 36 cm,  parallel sides = 4 cm and 6 cm.

Answer: 180 cm2


SOLUTION 1 :

Given:

h = 36 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 36 x (4 + 6)

                             = 1/ 2 x 36 18x 10

             Area of trapezium = 180 cm2.

 

 

 



5)  

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

altitude = 28 cm,  parallel sides = 5 cm and 9 cm.

Answer: 196 cm2


SOLUTION 1 :

Given:

h = 28 cm, a = 5, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 28 x (5 + 9)

                             = 1/ 2 x 28 14x 14

             Area of trapezium = 196 cm2.

 

 

 



6)  

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

altitude = 44 cm,  parallel sides = 3 cm and 8 cm.

Answer: 242 cm2


SOLUTION 1 :

Given:

h = 44 cm, a = 3, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 44 x (3 + 8)

                             = 1/ 2 x 44 22x 11

             Area of trapezium = 242 cm2.

 

 

 



7)  

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

altitude = 12 cm,  parallel sides = 2 cm and 9 cm.

Answer: 66 cm2


SOLUTION 1 :

Given:

h = 12 cm, a = 2, b = 9, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 12 x (2 + 9)

                             = 1/ 2 x 12 6x 11

             Area of trapezium = 66 cm2.

 

 

 



8)  

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

altitude = 44 cm,  parallel sides = 3 cm and 6 cm.

Answer: 198 cm2


SOLUTION 1 :

Given:

h = 44 cm, a = 3, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 44 x (3 + 6)

                             = 1/ 2 x 44 22x 9

             Area of trapezium = 198 cm2.

 

 

 



9)  

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

altitude = 48 cm,  parallel sides = 2 cm and 6 cm.

Answer: 192 cm2


SOLUTION 1 :

Given:

h = 48 cm, a = 2, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 48 x (2 + 6)

                             = 1/ 2 x 48 24x 8

             Area of trapezium = 192 cm2.

 

 

 



10)  

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

altitude = 46 cm,  parallel sides = 5 cm and 7 cm.

Answer: 276 cm2


SOLUTION 1 :

Given:

h = 46 cm, a = 5, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 46 x (5 + 7)

                             = 1/ 2 x 46 23x 12

             Area of trapezium = 276 cm2.