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 = 4 cm and 8 cm.

cm2


Answer:_______________




2)  

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

altitude = 46 cm,  parallel sides = 2 cm and 8 cm.

cm2


Answer:_______________




3)  

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

altitude = 38 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




4)  

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

altitude = 50 cm,  parallel sides = 5 cm and 8 cm.

cm2


Answer:_______________




5)  

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:_______________




6)  

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

altitude = 24 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




7)  

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

altitude = 44 cm,  parallel sides = 4 cm and 7 cm.

cm2


Answer:_______________




8)  

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

altitude = 28 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




9)  

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

altitude = 14 cm,  parallel sides = 2 cm and 8 cm.

cm2


Answer:_______________




10)  

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

altitude = 36 cm,  parallel sides = 4 cm and 8 cm.

cm2


Answer:_______________




 

1)  

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

altitude = 32 cm,  parallel sides = 4 cm and 8 cm.

Answer: 192 cm2


SOLUTION 1 :

Given:

h = 32 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 32 x (4 + 8)

                             = 1/ 2 x 32 16x 12

             Area of trapezium = 192 cm2.

 

 

 



2)  

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

altitude = 46 cm,  parallel sides = 2 cm and 8 cm.

Answer: 230 cm2


SOLUTION 1 :

Given:

h = 46 cm, a = 2, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 46 x (2 + 8)

                             = 1/ 2 x 46 23x 10

             Area of trapezium = 230 cm2.

 

 

 



3)  

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

altitude = 38 cm,  parallel sides = 2 cm and 7 cm.

Answer: 171 cm2


SOLUTION 1 :

Given:

h = 38 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 38 x (2 + 7)

                             = 1/ 2 x 38 19x 9

             Area of trapezium = 171 cm2.

 

 

 



4)  

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

altitude = 50 cm,  parallel sides = 5 cm and 8 cm.

Answer: 325 cm2


SOLUTION 1 :

Given:

h = 50 cm, a = 5, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 50 x (5 + 8)

                             = 1/ 2 x 50 25x 13

             Area of trapezium = 325 cm2.

 

 

 



5)  

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.

 

 

 



6)  

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

altitude = 24 cm,  parallel sides = 2 cm and 7 cm.

Answer: 108 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (2 + 7)

                             = 1/ 2 x 24 12x 9

             Area of trapezium = 108 cm2.

 

 

 



7)  

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

altitude = 44 cm,  parallel sides = 4 cm and 7 cm.

Answer: 242 cm2


SOLUTION 1 :

Given:

h = 44 cm, a = 4, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 44 x (4 + 7)

                             = 1/ 2 x 44 22x 11

             Area of trapezium = 242 cm2.

 

 

 



8)  

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

altitude = 28 cm,  parallel sides = 2 cm and 7 cm.

Answer: 126 cm2


SOLUTION 1 :

Given:

h = 28 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 28 x (2 + 7)

                             = 1/ 2 x 28 14x 9

             Area of trapezium = 126 cm2.

 

 

 



9)  

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

altitude = 14 cm,  parallel sides = 2 cm and 8 cm.

Answer: 70 cm2


SOLUTION 1 :

Given:

h = 14 cm, a = 2, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 14 x (2 + 8)

                             = 1/ 2 x 14 7x 10

             Area of trapezium = 70 cm2.

 

 

 



10)  

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

altitude = 36 cm,  parallel sides = 4 cm and 8 cm.

Answer: 216 cm2


SOLUTION 1 :

Given:

h = 36 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 36 x (4 + 8)

                             = 1/ 2 x 36 18x 12

             Area of trapezium = 216 cm2.