Scroll:Measurements >> area >> saq (4373)


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

cm


Answer:_______________




2)  

 Area of a rhombus is 68 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 92 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 83 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 56 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 93 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 104 cm2. one of its diagonal is 15 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 50 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

 Area of a rhombus is 66 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

cm


Answer:_______________




10)  

 Area of a rhombus is 86 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 119 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 238 cm


SOLUTION 1 :

Given   :

Area = 119 cm2

diagonal(d1) =  4cm

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

                          119    =   12 x 4 x d2

                   (2 x 119)4  =  d2

                            2384  = d2

                           59.5 cm  = d2

The length  of the other diagonal  =  59.5cm



2)  

 Area of a rhombus is 68 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer: 136 cm


SOLUTION 1 :

Given   :

Area = 68 cm2

diagonal(d1) =  9cm

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

                          68    =   12 x 9 x d2

                   (2 x 68)9  =  d2

                            1369  = d2

                           15.1 cm  = d2

The length  of the other diagonal  =  15.1cm



3)  

 Area of a rhombus is 92 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 184 cm


SOLUTION 1 :

Given   :

Area = 92 cm2

diagonal(d1) =  6cm

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

                          92    =   12 x 6 x d2

                   (2 x 92)6  =  d2

                            1846  = d2

                           30.7 cm  = d2

The length  of the other diagonal  =  30.7cm



4)  

 Area of a rhombus is 83 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

Answer: 166 cm


SOLUTION 1 :

Given   :

Area = 83 cm2

diagonal(d1) =  12cm

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

                          83    =   12 x 12 x d2

                   (2 x 83)12  =  d2

                            16612  = d2

                           13.8 cm  = d2

The length  of the other diagonal  =  13.8cm



5)  

 Area of a rhombus is 56 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

Answer: 112 cm


SOLUTION 1 :

Given   :

Area = 56 cm2

diagonal(d1) =  12cm

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

                          56    =   12 x 12 x d2

                   (2 x 56)12  =  d2

                            11212  = d2

                           9.3 cm  = d2

The length  of the other diagonal  =  9.3cm



6)  

 Area of a rhombus is 93 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer: 186 cm


SOLUTION 1 :

Given   :

Area = 93 cm2

diagonal(d1) =  10cm

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

                          93    =   12 x 10 x d2

                   (2 x 93)10  =  d2

                            18610  = d2

                           18.6 cm  = d2

The length  of the other diagonal  =  18.6cm



7)  

 Area of a rhombus is 104 cm2. one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer: 208 cm


SOLUTION 1 :

Given   :

Area = 104 cm2

diagonal(d1) =  15cm

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

                          104    =   12 x 15 x d2

                   (2 x 104)15  =  d2

                            20815  = d2

                           13.9 cm  = d2

The length  of the other diagonal  =  13.9cm



8)  

 Area of a rhombus is 50 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

Answer: 100 cm


SOLUTION 1 :

Given   :

Area = 50 cm2

diagonal(d1) =  8cm

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

                          50    =   12 x 8 x d2

                   (2 x 50)8  =  d2

                            1008  = d2

                           12.5 cm  = d2

The length  of the other diagonal  =  12.5cm



9)  

 Area of a rhombus is 66 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 132 cm


SOLUTION 1 :

Given   :

Area = 66 cm2

diagonal(d1) =  3cm

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

                          66    =   12 x 3 x d2

                   (2 x 66)3  =  d2

                            1323  = d2

                           44.0 cm  = d2

The length  of the other diagonal  =  44.0cm



10)  

 Area of a rhombus is 86 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 172 cm


SOLUTION 1 :

Given   :

Area = 86 cm2

diagonal(d1) =  4cm

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

                          86    =   12 x 4 x d2

                   (2 x 86)4  =  d2

                            1724  = d2

                           43.0 cm  = d2

The length  of the other diagonal  =  43.0cm