Scroll:Measurements >> Trapezium >> saq (4464)


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 = 18 cm,  parallel sides = 3 cm and 7.5 cm.

cm2


Answer:_______________




2)  

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

altitude = 16 cm,  parallel sides = 2 cm and 7 cm.

cm2


Answer:_______________




3)  

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

altitude = 22 cm,  parallel sides = 2.5 cm and 8.5 cm.

cm2


Answer:_______________




4)  

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

altitude = 14 cm,  parallel sides = 3 cm and 5.5 cm.

cm2


Answer:_______________




5)  

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

altitude = 10 cm,  parallel sides = 5 cm and 7 cm.

cm2


Answer:_______________




6)  

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

altitude = 24 cm,  parallel sides = 4.5 cm and 9.5 cm.

cm2


Answer:_______________




7)  

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

altitude = 22 cm,  parallel sides = 8 cm and 5.5 cm.

cm2


Answer:_______________




8)  

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

altitude = 10 cm,  parallel sides = 4 cm and 6 cm.

cm2


Answer:_______________




9)  

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

altitude = 26 cm,  parallel sides = 5.5 cm and 8.5 cm.

cm2


Answer:_______________




10)  

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

altitude = 26 cm,  parallel sides = 5 cm and 3.5 cm.

cm2


Answer:_______________




 

1)  

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

altitude = 18 cm,  parallel sides = 3 cm and 7.5 cm.

Answer: 94.5 cm2


SOLUTION 1 :

Given:

h = 18 cm, a = 3, b = 7.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 18 x (3 + 7.5)

                             = 1/ 2 x 18 x 10.5

                             = 9 x 10.5

             Area of trapezium = 94.5 cm2.

 

 

 



2)  

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

altitude = 16 cm,  parallel sides = 2 cm and 7 cm.

Answer: 72 cm2


SOLUTION 1 :

Given:

h = 16 cm, a = 2, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 16 x (2 + 7)

                             = 1/ 2 x 16 8x 9

             Area of trapezium = 72 cm2.

 

 

 



3)  

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

altitude = 22 cm,  parallel sides = 2.5 cm and 8.5 cm.

Answer: 121 cm2


SOLUTION 1 :

Given:

h = 22 cm, a = 2.5, b = 8.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 22 x (2.5 + 8.5)

                             = 1/ 2 x 22 11 x 11

                             = 11 x 11

             Area of trapezium = 121 cm2.

 

 

 



4)  

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

altitude = 14 cm,  parallel sides = 3 cm and 5.5 cm.

Answer: 59.5 cm2


SOLUTION 1 :

Given:

h = 14 cm, a = 3, b = 5.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 14 x (3 + 5.5)

                             = 1/ 2 x 14 x 8.5

                             = 7 x 8.5

             Area of trapezium = 59.5 cm2.

 

 

 



5)  

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

altitude = 10 cm,  parallel sides = 5 cm and 7 cm.

Answer: 60 cm2


SOLUTION 1 :

Given:

h = 10 cm, a = 5, b = 7, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 10 x (5 + 7)

                             = 1/ 2 x 10 5x 12

             Area of trapezium = 60 cm2.

 

 

 



6)  

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

altitude = 24 cm,  parallel sides = 4.5 cm and 9.5 cm.

Answer: 168 cm2


SOLUTION 1 :

Given:

h = 24 cm, a = 4.5, b = 9.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 24 x (4.5 + 9.5)

                             = 1/ 2 x 24 12 x 14

                             = 12 x 14

             Area of trapezium = 168 cm2.

 

 

 



7)  

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

altitude = 22 cm,  parallel sides = 8 cm and 5.5 cm.

Answer: 148.5 cm2


SOLUTION 1 :

Given:

h = 22 cm, a = 8, b = 5.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 22 x (8 + 5.5)

                             = 1/ 2 x 22 11 x 13.5

                             = 11 x 13.5

             Area of trapezium = 148.5 cm2.

 

 

 



8)  

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

altitude = 10 cm,  parallel sides = 4 cm and 6 cm.

Answer: 50 cm2


SOLUTION 1 :

Given:

h = 10 cm, a = 4, b = 6, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 10 x (4 + 6)

                             = 1/ 2 x 10 5x 10

             Area of trapezium = 50 cm2.

 

 

 



9)  

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

altitude = 26 cm,  parallel sides = 5.5 cm and 8.5 cm.

Answer: 182 cm2


SOLUTION 1 :

Given:

h = 26 cm, a = 5.5, b = 8.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 26 x (5.5 + 8.5)

                             = 1/ 2 x 26 13 x 14

                             = 13 x 14

             Area of trapezium = 182 cm2.

 

 

 



10)  

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

altitude = 26 cm,  parallel sides = 5 cm and 3.5 cm.

Answer: 110.5 cm2


SOLUTION 1 :

Given:

h = 26 cm, a = 5, b = 3.5, Area =

Area of trapezium = 12 h ( a+b )

                             = 12 x 26 x (5 + 3.5)

                             = 1/ 2 x 26 13 x 8.5

                             = 13 x 8.5

             Area of trapezium = 110.5 cm2.