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 147 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

cm


Answer:_______________




2)  

 Area of a rhombus is 83 cm2. one of its diagonal is 15 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 89 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 110 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 128 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 138 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 70 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 134 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

 Area of a rhombus is 130 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

cm


Answer:_______________




10)  

 Area of a rhombus is 101 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 147 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

Answer: 294 cm


SOLUTION 1 :

Given   :

Area = 147 cm2

diagonal(d1) =  8cm

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

                          147    =   12 x 8 x d2

                   (2 x 147)8  =  d2

                            2948  = d2

                           36.8 cm  = d2

The length  of the other diagonal  =  36.8cm



2)  

 Area of a rhombus is 83 cm2. one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer: 166 cm


SOLUTION 1 :

Given   :

Area = 83 cm2

diagonal(d1) =  15cm

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

                          83    =   12 x 15 x d2

                   (2 x 83)15  =  d2

                            16615  = d2

                           11.1 cm  = d2

The length  of the other diagonal  =  11.1cm



3)  

 Area of a rhombus is 89 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

Answer: 178 cm


SOLUTION 1 :

Given   :

Area = 89 cm2

diagonal(d1) =  12cm

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

                          89    =   12 x 12 x d2

                   (2 x 89)12  =  d2

                            17812  = d2

                           14.8 cm  = d2

The length  of the other diagonal  =  14.8cm



4)  

 Area of a rhombus is 110 cm2. one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 220 cm


SOLUTION 1 :

Given   :

Area = 110 cm2

diagonal(d1) =  6cm

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

                          110    =   12 x 6 x d2

                   (2 x 110)6  =  d2

                            2206  = d2

                           36.7 cm  = d2

The length  of the other diagonal  =  36.7cm



5)  

 Area of a rhombus is 128 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 256 cm


SOLUTION 1 :

Given   :

Area = 128 cm2

diagonal(d1) =  11cm

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

                          128    =   12 x 11 x d2

                   (2 x 128)11  =  d2

                            25611  = d2

                           23.3 cm  = d2

The length  of the other diagonal  =  23.3cm



6)  

 Area of a rhombus is 138 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 276 cm


SOLUTION 1 :

Given   :

Area = 138 cm2

diagonal(d1) =  4cm

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

                          138    =   12 x 4 x d2

                   (2 x 138)4  =  d2

                            2764  = d2

                           69.0 cm  = d2

The length  of the other diagonal  =  69.0cm



7)  

 Area of a rhombus is 70 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 140 cm


SOLUTION 1 :

Given   :

Area = 70 cm2

diagonal(d1) =  11cm

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

                          70    =   12 x 11 x d2

                   (2 x 70)11  =  d2

                            14011  = d2

                           12.7 cm  = d2

The length  of the other diagonal  =  12.7cm



8)  

 Area of a rhombus is 134 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

Answer: 268 cm


SOLUTION 1 :

Given   :

Area = 134 cm2

diagonal(d1) =  2cm

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

                          134    =   12 x 2 x d2

                   (2 x 134)2  =  d2

                            2682  = d2

                           134.0 cm  = d2

The length  of the other diagonal  =  134.0cm



9)  

 Area of a rhombus is 130 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer: 260 cm


SOLUTION 1 :

Given   :

Area = 130 cm2

diagonal(d1) =  9cm

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

                          130    =   12 x 9 x d2

                   (2 x 130)9  =  d2

                            2609  = d2

                           28.9 cm  = d2

The length  of the other diagonal  =  28.9cm



10)  

 Area of a rhombus is 101 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 202 cm


SOLUTION 1 :

Given   :

Area = 101 cm2

diagonal(d1) =  11cm

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

                          101    =   12 x 11 x d2

                   (2 x 101)11  =  d2

                            20211  = d2

                           18.4 cm  = d2

The length  of the other diagonal  =  18.4cm