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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 106 sq. m. The height of the garden is 9 m. Find the base length of the garden.

m


Answer:_______________




2)  

 A area of a triangular garden is 185 sq. m. The height of the garden is 5 m. Find the base length of the garden.

m


Answer:_______________




3)  

 A area of a triangular garden is 158 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 122 sq. m. The height of the garden is 3 m. Find the base length of the garden.

m


Answer:_______________




5)  

 A area of a triangular garden is 171 sq. m. The height of the garden is 15 m. Find the base length of the garden.

m


Answer:_______________




6)  

 A area of a triangular garden is 120 sq. m. The height of the garden is 15 m. Find the base length of the garden.

m


Answer:_______________




7)  

 A area of a triangular garden is 118 sq. m. The height of the garden is 11 m. Find the base length of the garden.

m


Answer:_______________




8)  

 A area of a triangular garden is 199 sq. m. The height of the garden is 10 m. Find the base length of the garden.

m


Answer:_______________




9)  

 A area of a triangular garden is 119 sq. m. The height of the garden is 12 m. Find the base length of the garden.

m


Answer:_______________




10)  

 A area of a triangular garden is 164 sq. m. The height of the garden is 9 m. Find the base length of the garden.

m


Answer:_______________




 

1)  

 A area of a triangular garden is 106 sq. m. The height of the garden is 9 m. Find the base length of the garden.

Answer: 24 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   106 sq.m  (given)

                12 x b x h                      =  106

        12 x b x 9                          =   106

                              b                       = (2 x 106)9

base of the garden                =24 m

                       



2)  

 A area of a triangular garden is 185 sq. m. The height of the garden is 5 m. Find the base length of the garden.

Answer: 74 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   185 sq.m  (given)

                12 x b x h                      =  185

        12 x b x 5                          =   185

                              b                       = (2 x 185)5

base of the garden                =74 m

                       



3)  

 A area of a triangular garden is 158 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 21 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   158 sq.m  (given)

                12 x b x h                      =  158

        12 x b x 15                          =   158

                              b                       = (2 x 158)15

base of the garden                =21 m

                       



4)  

 A area of a triangular garden is 122 sq. m. The height of the garden is 3 m. Find the base length of the garden.

Answer: 81 m


SOLUTION 1 :

Given  :

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

                12 x b x h                      =  122

        12 x b x 3                          =   122

                              b                       = (2 x 122)3

base of the garden                =81 m

                       



5)  

 A area of a triangular garden is 171 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 23 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   171 sq.m  (given)

                12 x b x h                      =  171

        12 x b x 15                          =   171

                              b                       = (2 x 171)15

base of the garden                =23 m

                       



6)  

 A area of a triangular garden is 120 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 16 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   120 sq.m  (given)

                12 x b x h                      =  120

        12 x b x 15                          =   120

                              b                       = (2 x 120)15

base of the garden                =16 m

                       



7)  

 A area of a triangular garden is 118 sq. m. The height of the garden is 11 m. Find the base length of the garden.

Answer: 21 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   118 sq.m  (given)

                12 x b x h                      =  118

        12 x b x 11                          =   118

                              b                       = (2 x 118)11

base of the garden                =21 m

                       



8)  

 A area of a triangular garden is 199 sq. m. The height of the garden is 10 m. Find the base length of the garden.

Answer: 40 m


SOLUTION 1 :

Given  :

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

                12 x b x h                      =  199

        12 x b x 10                          =   199

                              b                       = (2 x 199)10

base of the garden                =40 m

                       



9)  

 A area of a triangular garden is 119 sq. m. The height of the garden is 12 m. Find the base length of the garden.

Answer: 20 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   119 sq.m  (given)

                12 x b x h                      =  119

        12 x b x 12                          =   119

                              b                       = (2 x 119)12

base of the garden                =20 m

                       



10)  

 A area of a triangular garden is 164 sq. m. The height of the garden is 9 m. Find the base length of the garden.

Answer: 36 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   164 sq.m  (given)

                12 x b x h                      =  164

        12 x b x 9                          =   164

                              b                       = (2 x 164)9

base of the garden                =36 m