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 30m. Find the area of the garden.

m2


Answer:_______________




2)  

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:_______________




3)  

A garden is in the form of a trapezium. The parallel sides are 30m and 30m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

m2


Answer:_______________




4)  

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

m2


Answer:_______________




5)  

A garden is in the form of a trapezium. The parallel sides are 40m and 50m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




6)  

A garden is in the form of a trapezium. The parallel sides are 40m and 60m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

m2


Answer:_______________




7)  

A garden is in the form of a trapezium. The parallel sides are 30m 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 30m and 50m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

m2


Answer:_______________




9)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

m2


Answer:_______________




10)  

A garden is in the form of a trapezium. The parallel sides are 50m and 50m. The perpendicular distance between the parallel side is 25m. 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 30m. Find the area of the garden.

Answer: 900 m2


SOLUTION 1 :

Given:

a = 30m  b = 30m,    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 (30 + 30)

                                   = 1/ 2 x 30 x 60 30

                                   =  30 x 30

                                   =  900 m2.

Hence, area of the garden is 900 m2.



2)  

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.



3)  

A garden is in the form of a trapezium. The parallel sides are 30m and 30m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

Answer: 1050 m2


SOLUTION 1 :

Given:

a = 30m  b = 30m,    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 (30 + 30)

                                   = 1/ 2 x 35 x 60 30

                                   =  35 x 30

                                   =  1050 m2.

Hence, area of the garden is 1050 m2.



4)  

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

Answer: 500 m2


SOLUTION 1 :

Given:

a = 20m  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 (20 + 30)

                                   = 1/ 2 x 20 x 50 25

                                   =  20 x 25

                                   =  500 m2.

Hence, area of the garden is 500 m2.



5)  

A garden is in the form of a trapezium. The parallel sides are 40m and 50m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 900 m2


SOLUTION 1 :

Given:

a = 40m  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 (40 + 50)

                                   = 1/ 2 x 20 x 90 45

                                   =  20 x 45

                                   =  900 m2.

Hence, area of the garden is 900 m2.



6)  

A garden is in the form of a trapezium. The parallel sides are 40m and 60m. The perpendicular distance between the parallel side is 20m. Find the area of the garden.

Answer: 1000 m2


SOLUTION 1 :

Given:

a = 40m  b = 60m,    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 + 60)

                                   = 1/ 2 x 20 x 100 50

                                   =  20 x 50

                                   =  1000 m2.

Hence, area of the garden is 1000 m2.



7)  

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

Answer: 1050 m2


SOLUTION 1 :

Given:

a = 30m  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 (30 + 40)

                                   = 1/ 2 x 30 x 70 35

                                   =  30 x 35

                                   =  1050 m2.

Hence, area of the garden is 1050 m2.



8)  

A garden is in the form of a trapezium. The parallel sides are 30m and 50m. The perpendicular distance between the parallel side is 25m. Find the area of the garden.

Answer: 1000 m2


SOLUTION 1 :

Given:

a = 30m  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 (30 + 50)

                                   = 1/ 2 x 25 x 80 40

                                   =  25 x 40

                                   =  1000 m2.

Hence, area of the garden is 1000 m2.



9)  

A garden is in the form of a trapezium. The parallel sides are 20m and 40m. The perpendicular distance between the parallel side is 35m. Find the area of the garden.

Answer: 1050 m2


SOLUTION 1 :

Given:

a = 20m  b = 40m,    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 (20 + 40)

                                   = 1/ 2 x 35 x 60 30

                                   =  35 x 30

                                   =  1050 m2.

Hence, area of the garden is 1050 m2.



10)  

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

Answer: 1250 m2


SOLUTION 1 :

Given:

a = 50m  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 (50 + 50)

                                   = 1/ 2 x 25 x 100 50

                                   =  25 x 50

                                   =  1250 m2.

Hence, area of the garden is 1250 m2.