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 148 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

cm


Answer:_______________




2)  

 Area of a rhombus is 98 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 123 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 51 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 108 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 103 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 73 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 56 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

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

cm


Answer:_______________




10)  

 Area of a rhombus is 115 cm2. one of its diagonal is 14 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 148 cm2. one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 296 cm


SOLUTION 1 :

Given   :

Area = 148 cm2

diagonal(d1) =  7cm

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

                          148    =   12 x 7 x d2

                   (2 x 148)7  =  d2

                            2967  = d2

                           42.3 cm  = d2

The length  of the other diagonal  =  42.3cm



2)  

 Area of a rhombus is 98 cm2. one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer: 196 cm


SOLUTION 1 :

Given   :

Area = 98 cm2

diagonal(d1) =  9cm

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

                          98    =   12 x 9 x d2

                   (2 x 98)9  =  d2

                            1969  = d2

                           21.8 cm  = d2

The length  of the other diagonal  =  21.8cm



3)  

 Area of a rhombus is 123 cm2. one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 246 cm


SOLUTION 1 :

Given   :

Area = 123 cm2

diagonal(d1) =  4cm

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

                          123    =   12 x 4 x d2

                   (2 x 123)4  =  d2

                            2464  = d2

                           61.5 cm  = d2

The length  of the other diagonal  =  61.5cm



4)  

 Area of a rhombus is 51 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 102 cm


SOLUTION 1 :

Given   :

Area = 51 cm2

diagonal(d1) =  11cm

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

                          51    =   12 x 11 x d2

                   (2 x 51)11  =  d2

                            10211  = d2

                           9.3 cm  = d2

The length  of the other diagonal  =  9.3cm



5)  

 Area of a rhombus is 108 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 216 cm


SOLUTION 1 :

Given   :

Area = 108 cm2

diagonal(d1) =  3cm

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

                          108    =   12 x 3 x d2

                   (2 x 108)3  =  d2

                            2163  = d2

                           72.0 cm  = d2

The length  of the other diagonal  =  72.0cm



6)  

 Area of a rhombus is 103 cm2. one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer: 206 cm


SOLUTION 1 :

Given   :

Area = 103 cm2

diagonal(d1) =  10cm

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

                          103    =   12 x 10 x d2

                   (2 x 103)10  =  d2

                            20610  = d2

                           20.6 cm  = d2

The length  of the other diagonal  =  20.6cm



7)  

 Area of a rhombus is 73 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 146 cm


SOLUTION 1 :

Given   :

Area = 73 cm2

diagonal(d1) =  11cm

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

                          73    =   12 x 11 x d2

                   (2 x 73)11  =  d2

                            14611  = d2

                           13.3 cm  = d2

The length  of the other diagonal  =  13.3cm



8)  

 Area of a rhombus is 56 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

Answer: 112 cm


SOLUTION 1 :

Given   :

Area = 56 cm2

diagonal(d1) =  2cm

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

                          56    =   12 x 2 x d2

                   (2 x 56)2  =  d2

                            1122  = d2

                           56.0 cm  = d2

The length  of the other diagonal  =  56.0cm



9)  

 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



10)  

 Area of a rhombus is 115 cm2. one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer: 230 cm


SOLUTION 1 :

Given   :

Area = 115 cm2

diagonal(d1) =  14cm

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

                          115    =   12 x 14 x d2

                   (2 x 115)14  =  d2

                            23014  = d2

                           16.4 cm  = d2

The length  of the other diagonal  =  16.4cm