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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 area of a triangular garden is 199 sq. m. The height of the garden is 7 m. Find the base length of the garden.

m


Answer:_______________




2)  

 A area of a triangular garden is 108 sq. m. The height of the garden is 12 m. Find the base length of the garden.

m


Answer:_______________




3)  

 A area of a triangular garden is 125 sq. m. The height of the garden is 15 m. Find the base length of the garden.

m


Answer:_______________




4)  

 A area of a triangular garden is 136 sq. m. The height of the garden is 6 m. Find the base length of the garden.

m


Answer:_______________




5)  

 A area of a triangular garden is 128 sq. m. The height of the garden is 9 m. Find the base length of the garden.

m


Answer:_______________




6)  

 A area of a triangular garden is 173 sq. m. The height of the garden is 12 m. Find the base length of the garden.

m


Answer:_______________




7)  

 A area of a triangular garden is 170 sq. m. The height of the garden is 5 m. Find the base length of the garden.

m


Answer:_______________




8)  

 A area of a triangular garden is 180 sq. m. The height of the garden is 4 m. Find the base length of the garden.

m


Answer:_______________




9)  

 A area of a triangular garden is 122 sq. m. The height of the garden is 5 m. Find the base length of the garden.

m


Answer:_______________




10)  

 A area of a triangular garden is 174 sq. m. The height of the garden is 8 m. Find the base length of the garden.

m


Answer:_______________




 

1)  

 A area of a triangular garden is 199 sq. m. The height of the garden is 7 m. Find the base length of the garden.

Answer: 57 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   199 sq.m  (given)

                12 x b x h                      =  199

        12 x b x 7                          =   199

                              b                       = (2 x 199)7

base of the garden                =57 m

                       



2)  

 A area of a triangular garden is 108 sq. m. The height of the garden is 12 m. Find the base length of the garden.

Answer: 18 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   108 sq.m  (given)

                12 x b x h                      =  108

        12 x b x 12                          =   108

                              b                       = (2 x 108)12

base of the garden                =18 m

                       



3)  

 A area of a triangular garden is 125 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 17 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   125 sq.m  (given)

                12 x b x h                      =  125

        12 x b x 15                          =   125

                              b                       = (2 x 125)15

base of the garden                =17 m

                       



4)  

 A area of a triangular garden is 136 sq. m. The height of the garden is 6 m. Find the base length of the garden.

Answer: 45 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   136 sq.m  (given)

                12 x b x h                      =  136

        12 x b x 6                          =   136

                              b                       = (2 x 136)6

base of the garden                =45 m

                       



5)  

 A area of a triangular garden is 128 sq. m. The height of the garden is 9 m. Find the base length of the garden.

Answer: 28 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   128 sq.m  (given)

                12 x b x h                      =  128

        12 x b x 9                          =   128

                              b                       = (2 x 128)9

base of the garden                =28 m

                       



6)  

 A area of a triangular garden is 173 sq. m. The height of the garden is 12 m. Find the base length of the garden.

Answer: 29 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   173 sq.m  (given)

                12 x b x h                      =  173

        12 x b x 12                          =   173

                              b                       = (2 x 173)12

base of the garden                =29 m

                       



7)  

 A area of a triangular garden is 170 sq. m. The height of the garden is 5 m. Find the base length of the garden.

Answer: 68 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   170 sq.m  (given)

                12 x b x h                      =  170

        12 x b x 5                          =   170

                              b                       = (2 x 170)5

base of the garden                =68 m

                       



8)  

 A area of a triangular garden is 180 sq. m. The height of the garden is 4 m. Find the base length of the garden.

Answer: 90 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   180 sq.m  (given)

                12 x b x h                      =  180

        12 x b x 4                          =   180

                              b                       = (2 x 180)4

base of the garden                =90 m

                       



9)  

 A area of a triangular garden is 122 sq. m. The height of the garden is 5 m. Find the base length of the garden.

Answer: 49 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   122 sq.m  (given)

                12 x b x h                      =  122

        12 x b x 5                          =   122

                              b                       = (2 x 122)5

base of the garden                =49 m

                       



10)  

 A area of a triangular garden is 174 sq. m. The height of the garden is 8 m. Find the base length of the garden.

Answer: 44 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   174 sq.m  (given)

                12 x b x h                      =  174

        12 x b x 8                          =   174

                              b                       = (2 x 174)8

base of the garden                =44 m