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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)  

 Area of a rhombus is 133 cm2. one of its diagonal is 13 cm. Find the length of the other diagonal.

cm


Answer:_______________




2)  

 Area of a rhombus is 126 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 149 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 138 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 86 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 82 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 81 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 104 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

 Area of a rhombus is 69 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

cm


Answer:_______________




10)  

 Area of a rhombus is 96 cm2. one of its diagonal is 14 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 133 cm2. one of its diagonal is 13 cm. Find the length of the other diagonal.

Answer: 266 cm


SOLUTION 1 :

Given   :

Area = 133 cm2

diagonal(d1) =  13cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          133    =   12 x 13 x d2

                   (2 x 133)13  =  d2

                            26613  = d2

                           20.5 cm  = d2

The length  of the other diagonal  =  20.5cm



2)  

 Area of a rhombus is 126 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 252 cm


SOLUTION 1 :

Given   :

Area = 126 cm2

diagonal(d1) =  4cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          126    =   12 x 4 x d2

                   (2 x 126)4  =  d2

                            2524  = d2

                           63.0 cm  = d2

The length  of the other diagonal  =  63.0cm



3)  

 Area of a rhombus is 149 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 298 cm


SOLUTION 1 :

Given   :

Area = 149 cm2

diagonal(d1) =  7cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          149    =   12 x 7 x d2

                   (2 x 149)7  =  d2

                            2987  = d2

                           42.6 cm  = d2

The length  of the other diagonal  =  42.6cm



4)  

 Area of a rhombus is 138 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer: 276 cm


SOLUTION 1 :

Given   :

Area = 138 cm2

diagonal(d1) =  10cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          138    =   12 x 10 x d2

                   (2 x 138)10  =  d2

                            27610  = d2

                           27.6 cm  = d2

The length  of the other diagonal  =  27.6cm



5)  

 Area of a rhombus is 86 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 172 cm


SOLUTION 1 :

Given   :

Area = 86 cm2

diagonal(d1) =  7cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          86    =   12 x 7 x d2

                   (2 x 86)7  =  d2

                            1727  = d2

                           24.6 cm  = d2

The length  of the other diagonal  =  24.6cm



6)  

 Area of a rhombus is 82 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 164 cm


SOLUTION 1 :

Given   :

Area = 82 cm2

diagonal(d1) =  4cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          82    =   12 x 4 x d2

                   (2 x 82)4  =  d2

                            1644  = d2

                           41.0 cm  = d2

The length  of the other diagonal  =  41.0cm



7)  

 Area of a rhombus is 81 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 162 cm


SOLUTION 1 :

Given   :

Area = 81 cm2

diagonal(d1) =  5cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          81    =   12 x 5 x d2

                   (2 x 81)5  =  d2

                            1625  = d2

                           32.4 cm  = d2

The length  of the other diagonal  =  32.4cm



8)  

 Area of a rhombus is 104 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 208 cm


SOLUTION 1 :

Given   :

Area = 104 cm2

diagonal(d1) =  11cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          104    =   12 x 11 x d2

                   (2 x 104)11  =  d2

                            20811  = d2

                           18.9 cm  = d2

The length  of the other diagonal  =  18.9cm



9)  

 Area of a rhombus is 69 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 138 cm


SOLUTION 1 :

Given   :

Area = 69 cm2

diagonal(d1) =  7cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          69    =   12 x 7 x d2

                   (2 x 69)7  =  d2

                            1387  = d2

                           19.7 cm  = d2

The length  of the other diagonal  =  19.7cm



10)  

 Area of a rhombus is 96 cm2. one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer: 192 cm


SOLUTION 1 :

Given   :

Area = 96 cm2

diagonal(d1) =  14cm

Area of the rhombus   =   12 x d1 x d2 sq.uni

                          96    =   12 x 14 x d2

                   (2 x 96)14  =  d2

                            19214  = d2

                           13.7 cm  = d2

The length  of the other diagonal  =  13.7cm