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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 114 sq. m. The height of the garden is 11 m. Find the base length of the garden.

m


Answer:_______________




2)  

 A area of a triangular garden is 117 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 152 sq. m. The height of the garden is 10 m. Find the base length of the garden.

m


Answer:_______________




4)  

 A area of a triangular garden is 106 sq. m. The height of the garden is 15 m. Find the base length of the garden.

m


Answer:_______________




5)  

 A area of a triangular garden is 106 sq. m. The height of the garden is 2 m. Find the base length of the garden.

m


Answer:_______________




6)  

 A area of a triangular garden is 113 sq. m. The height of the garden is 5 m. Find the base length of the garden.

m


Answer:_______________




7)  

 A area of a triangular garden is 145 sq. m. The height of the garden is 15 m. Find the base length of the garden.

m


Answer:_______________




8)  

 A area of a triangular garden is 168 sq. m. The height of the garden is 8 m. Find the base length of the garden.

m


Answer:_______________




9)  

 A area of a triangular garden is 111 sq. m. The height of the garden is 11 m. Find the base length of the garden.

m


Answer:_______________




10)  

 A area of a triangular garden is 183 sq. m. The height of the garden is 2 m. Find the base length of the garden.

m


Answer:_______________




 

1)  

 A area of a triangular garden is 114 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   =   114 sq.m  (given)

                12 x b x h                      =  114

        12 x b x 11                          =   114

                              b                       = (2 x 114)11

base of the garden                =21 m

                       



2)  

 A area of a triangular garden is 117 sq. m. The height of the garden is 5 m. Find the base length of the garden.

Answer: 47 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   117 sq.m  (given)

                12 x b x h                      =  117

        12 x b x 5                          =   117

                              b                       = (2 x 117)5

base of the garden                =47 m

                       



3)  

 A area of a triangular garden is 152 sq. m. The height of the garden is 10 m. Find the base length of the garden.

Answer: 30 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   152 sq.m  (given)

                12 x b x h                      =  152

        12 x b x 10                          =   152

                              b                       = (2 x 152)10

base of the garden                =30 m

                       



4)  

 A area of a triangular garden is 106 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 14 m


SOLUTION 1 :

Given  :

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

                12 x b x h                      =  106

        12 x b x 15                          =   106

                              b                       = (2 x 106)15

base of the garden                =14 m

                       



5)  

 A area of a triangular garden is 106 sq. m. The height of the garden is 2 m. Find the base length of the garden.

Answer: 106 m


SOLUTION 1 :

Given  :

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

                12 x b x h                      =  106

        12 x b x 2                          =   106

                              b                       = (2 x 106)2

base of the garden                =106 m

                       



6)  

 A area of a triangular garden is 113 sq. m. The height of the garden is 5 m. Find the base length of the garden.

Answer: 45 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   113 sq.m  (given)

                12 x b x h                      =  113

        12 x b x 5                          =   113

                              b                       = (2 x 113)5

base of the garden                =45 m

                       



7)  

 A area of a triangular garden is 145 sq. m. The height of the garden is 15 m. Find the base length of the garden.

Answer: 19 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   145 sq.m  (given)

                12 x b x h                      =  145

        12 x b x 15                          =   145

                              b                       = (2 x 145)15

base of the garden                =19 m

                       



8)  

 A area of a triangular garden is 168 sq. m. The height of the garden is 8 m. Find the base length of the garden.

Answer: 42 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   168 sq.m  (given)

                12 x b x h                      =  168

        12 x b x 8                          =   168

                              b                       = (2 x 168)8

base of the garden                =42 m

                       



9)  

 A area of a triangular garden is 111 sq. m. The height of the garden is 11 m. Find the base length of the garden.

Answer: 20 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   111 sq.m  (given)

                12 x b x h                      =  111

        12 x b x 11                          =   111

                              b                       = (2 x 111)11

base of the garden                =20 m

                       



10)  

 A area of a triangular garden is 183 sq. m. The height of the garden is 2 m. Find the base length of the garden.

Answer: 183 m


SOLUTION 1 :

Given  :

Area of the triangular garden   =   183 sq.m  (given)

                12 x b x h                      =  183

        12 x b x 2                          =   183

                              b                       = (2 x 183)2

base of the garden                =183 m