Scroll:Measurements >> Trapezium >> saq (4466)

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)  

A garden is in the form of a trapezium. The parallel sides are 30m and 30m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




2)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

m2


Answer:_______________




3)  

A garden is in the form of a trapezium. The parallel sides are 40m and 40m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




4)  

A garden is in the form of a trapezium. The parallel sides are 20m and 50m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

m2


Answer:_______________




5)  

A garden is in the form of a trapezium. The parallel sides are 40m and 60m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

m2


Answer:_______________




6)  

A garden is in the form of a trapezium. The parallel sides are 40m and 30m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

m2


Answer:_______________




7)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 30m. Find the area of the garden.

m2


Answer:_______________




8)  

A garden is in the form of a trapezium. The parallel sides are 40m and 50m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

m2


Answer:_______________




9)  

A garden is in the form of a trapezium. The parallel sides are 40m and 30m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




10)  

A garden is in the form of a trapezium. The parallel sides are 30m and 50m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




 

1)  

A garden is in the form of a trapezium. The parallel sides are 30m and 30m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 600 m2


SOLUTION 1 :

Given:

a = 30m  b = 30m,    h = 20m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 20 (30 + 30)

                                   = 1/ 2 x 20 x 60 30

                                   =  20 x 30

                                   =  600 m2.

Hence, area of the garden is 600 m2.



2)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

Answer: 750 m2


SOLUTION 1 :

Given:

a = 20m  b = 40m,    h = 25m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 25 (20 + 40)

                                   = 1/ 2 x 25 x 60 30

                                   =  25 x 30

                                   =  750 m2.

Hence, area of the garden is 750 m2.



3)  

A garden is in the form of a trapezium. The parallel sides are 40m and 40m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 800 m2


SOLUTION 1 :

Given:

a = 40m  b = 40m,    h = 20m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 20 (40 + 40)

                                   = 1/ 2 x 20 x 80 40

                                   =  20 x 40

                                   =  800 m2.

Hence, area of the garden is 800 m2.



4)  

A garden is in the form of a trapezium. The parallel sides are 20m and 50m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

Answer: 875 m2


SOLUTION 1 :

Given:

a = 20m  b = 50m,    h = 25m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 25 (20 + 50)

                                   = 1/ 2 x 25 x 70 35

                                   =  25 x 35

                                   =  875 m2.

Hence, area of the garden is 875 m2.



5)  

A garden is in the form of a trapezium. The parallel sides are 40m and 60m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

Answer: 1750 m2


SOLUTION 1 :

Given:

a = 40m  b = 60m,    h = 35m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 35 (40 + 60)

                                   = 1/ 2 x 35 x 100 50

                                   =  35 x 50

                                   =  1750 m2.

Hence, area of the garden is 1750 m2.



6)  

A garden is in the form of a trapezium. The parallel sides are 40m and 30m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

Answer: 875 m2


SOLUTION 1 :

Given:

a = 40m  b = 30m,    h = 25m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 25 (40 + 30)

                                   = 1/ 2 x 25 x 70 35

                                   =  25 x 35

                                   =  875 m2.

Hence, area of the garden is 875 m2.



7)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 30m. Find the area of the garden.

Answer: 900 m2


SOLUTION 1 :

Given:

a = 20m  b = 40m,    h = 30m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 30 (20 + 40)

                                   = 1/ 2 x 30 x 60 30

                                   =  30 x 30

                                   =  900 m2.

Hence, area of the garden is 900 m2.



8)  

A garden is in the form of a trapezium. The parallel sides are 40m and 50m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

Answer: 1575 m2


SOLUTION 1 :

Given:

a = 40m  b = 50m,    h = 35m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 35 (40 + 50)

                                   = 1/ 2 x 35 x 90 45

                                   =  35 x 45

                                   =  1575 m2.

Hence, area of the garden is 1575 m2.



9)  

A garden is in the form of a trapezium. The parallel sides are 40m and 30m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 700 m2


SOLUTION 1 :

Given:

a = 40m  b = 30m,    h = 20m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 20 (40 + 30)

                                   = 1/ 2 x 20 x 70 35

                                   =  20 x 35

                                   =  700 m2.

Hence, area of the garden is 700 m2.



10)  

A garden is in the form of a trapezium. The parallel sides are 30m and 50m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 800 m2


SOLUTION 1 :

Given:

a = 30m  b = 50m,    h = 20m.

Area of the garden    =  Area of the trapezium

    Area of the trapezium =

Area of the trapezium = 12 h( a+b )

                                   = 12 x 20 (30 + 50)

                                   = 1/ 2 x 20 x 80 40

                                   =  20 x 40

                                   =  800 m2.

Hence, area of the garden is 800 m2.