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 = 38 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 = 10 cm,  parallel sides = 5 cm and 8 cm.

cm2


Answer:_______________




3)  

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

altitude = 26 cm,  parallel sides = 3 cm and 7 cm.

cm2


Answer:_______________




4)  

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

altitude = 36 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




5)  

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

altitude = 24 cm,  parallel sides = 3 cm and 6 cm.

cm2


Answer:_______________




6)  

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

altitude = 26 cm,  parallel sides = 5 cm and 6 cm.

cm2


Answer:_______________




7)  

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

altitude = 44 cm,  parallel sides = 3 cm and 7 cm.

cm2


Answer:_______________




8)  

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

altitude = 16 cm,  parallel sides = 2 cm and 8 cm.

cm2


Answer:_______________




9)  

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

altitude = 50 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 = 24 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 = 38 cm,  parallel sides = 4 cm and 8 cm.

Answer: 228 cm2


SOLUTION 1 :

Given:

h = 38 cm, a = 4, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 38 x (4 + 8)

                             = 1/ 2 x 38 19x 12

             Area of trapezium = 228 cm2.

 

 

 



2)  

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

altitude = 10 cm,  parallel sides = 5 cm and 8 cm.

Answer: 65 cm2


SOLUTION 1 :

Given:

h = 10 cm, a = 5, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 10 x (5 + 8)

                             = 1/ 2 x 10 5x 13

             Area of trapezium = 65 cm2.

 

 

 



3)  

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

altitude = 26 cm,  parallel sides = 3 cm and 7 cm.

Answer: 130 cm2


SOLUTION 1 :

Given:

h = 26 cm, a = 3, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 26 x (3 + 7)

                             = 1/ 2 x 26 13x 10

             Area of trapezium = 130 cm2.

 

 

 



4)  

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

altitude = 36 cm,  parallel sides = 2 cm and 7 cm.

Answer: 162 cm2


SOLUTION 1 :

Given:

h = 36 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 36 x (2 + 7)

                             = 1/ 2 x 36 18x 9

             Area of trapezium = 162 cm2.

 

 

 



5)  

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

altitude = 24 cm,  parallel sides = 3 cm and 6 cm.

Answer: 108 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 3, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (3 + 6)

                             = 1/ 2 x 24 12x 9

             Area of trapezium = 108 cm2.

 

 

 



6)  

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

altitude = 26 cm,  parallel sides = 5 cm and 6 cm.

Answer: 143 cm2


SOLUTION 1 :

Given:

h = 26 cm, a = 5, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 26 x (5 + 6)

                             = 1/ 2 x 26 13x 11

             Area of trapezium = 143 cm2.

 

 

 



7)  

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

altitude = 44 cm,  parallel sides = 3 cm and 7 cm.

Answer: 220 cm2


SOLUTION 1 :

Given:

h = 44 cm, a = 3, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 44 x (3 + 7)

                             = 1/ 2 x 44 22x 10

             Area of trapezium = 220 cm2.

 

 

 



8)  

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

altitude = 16 cm,  parallel sides = 2 cm and 8 cm.

Answer: 80 cm2


SOLUTION 1 :

Given:

h = 16 cm, a = 2, b = 8, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 16 x (2 + 8)

                             = 1/ 2 x 16 8x 10

             Area of trapezium = 80 cm2.

 

 

 



9)  

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

altitude = 50 cm,  parallel sides = 2 cm and 6 cm.

Answer: 200 cm2


SOLUTION 1 :

Given:

h = 50 cm, a = 2, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 50 x (2 + 6)

                             = 1/ 2 x 50 25x 8

             Area of trapezium = 200 cm2.

 

 

 



10)  

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

altitude = 24 cm,  parallel sides = 4 cm and 6 cm.

Answer: 120 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (4 + 6)

                             = 1/ 2 x 24 12x 10

             Area of trapezium = 120 cm2.