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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 146 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




2)  

 Area of a rhombus is 102 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 64 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 148 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 149 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 130 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 141 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 113 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

 Area of a rhombus is 61 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

cm


Answer:_______________




10)  

 Area of a rhombus is 140 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 146 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 292 cm


SOLUTION 1 :

Given   :

Area = 146 cm2

diagonal(d1) =  4cm

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

                          146    =   12 x 4 x d2

                   (2 x 146)4  =  d2

                            2924  = d2

                           73.0 cm  = d2

The length  of the other diagonal  =  73.0cm



2)  

 Area of a rhombus is 102 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 204 cm


SOLUTION 1 :

Given   :

Area = 102 cm2

diagonal(d1) =  6cm

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

                          102    =   12 x 6 x d2

                   (2 x 102)6  =  d2

                            2046  = d2

                           34.0 cm  = d2

The length  of the other diagonal  =  34.0cm



3)  

 Area of a rhombus is 64 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 128 cm


SOLUTION 1 :

Given   :

Area = 64 cm2

diagonal(d1) =  6cm

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

                          64    =   12 x 6 x d2

                   (2 x 64)6  =  d2

                            1286  = d2

                           21.3 cm  = d2

The length  of the other diagonal  =  21.3cm



4)  

 Area of a rhombus is 148 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 296 cm


SOLUTION 1 :

Given   :

Area = 148 cm2

diagonal(d1) =  11cm

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

                          148    =   12 x 11 x d2

                   (2 x 148)11  =  d2

                            29611  = d2

                           26.9 cm  = d2

The length  of the other diagonal  =  26.9cm



5)  

 Area of a rhombus is 149 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 298 cm


SOLUTION 1 :

Given   :

Area = 149 cm2

diagonal(d1) =  5cm

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

                          149    =   12 x 5 x d2

                   (2 x 149)5  =  d2

                            2985  = d2

                           59.6 cm  = d2

The length  of the other diagonal  =  59.6cm



6)  

 Area of a rhombus is 130 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

Answer: 260 cm


SOLUTION 1 :

Given   :

Area = 130 cm2

diagonal(d1) =  2cm

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

                          130    =   12 x 2 x d2

                   (2 x 130)2  =  d2

                            2602  = d2

                           130.0 cm  = d2

The length  of the other diagonal  =  130.0cm



7)  

 Area of a rhombus is 141 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 282 cm


SOLUTION 1 :

Given   :

Area = 141 cm2

diagonal(d1) =  4cm

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

                          141    =   12 x 4 x d2

                   (2 x 141)4  =  d2

                            2824  = d2

                           70.5 cm  = d2

The length  of the other diagonal  =  70.5cm



8)  

 Area of a rhombus is 113 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

Answer: 226 cm


SOLUTION 1 :

Given   :

Area = 113 cm2

diagonal(d1) =  12cm

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

                          113    =   12 x 12 x d2

                   (2 x 113)12  =  d2

                            22612  = d2

                           18.8 cm  = d2

The length  of the other diagonal  =  18.8cm



9)  

 Area of a rhombus is 61 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 122 cm


SOLUTION 1 :

Given   :

Area = 61 cm2

diagonal(d1) =  7cm

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

                          61    =   12 x 7 x d2

                   (2 x 61)7  =  d2

                            1227  = d2

                           17.4 cm  = d2

The length  of the other diagonal  =  17.4cm



10)  

 Area of a rhombus is 140 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer: 280 cm


SOLUTION 1 :

Given   :

Area = 140 cm2

diagonal(d1) =  9cm

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

                          140    =   12 x 9 x d2

                   (2 x 140)9  =  d2

                            2809  = d2

                           31.1 cm  = d2

The length  of the other diagonal  =  31.1cm