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 69 cm2. one of its diagonal is 13 cm. Find the length of the other diagonal.

cm


Answer:_______________




2)  

 Area of a rhombus is 144 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

cm


Answer:_______________




3)  

 Area of a rhombus is 55 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




4)  

 Area of a rhombus is 105 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

cm


Answer:_______________




5)  

 Area of a rhombus is 147 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

cm


Answer:_______________




6)  

 Area of a rhombus is 75 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

cm


Answer:_______________




7)  

 Area of a rhombus is 55 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

cm


Answer:_______________




8)  

 Area of a rhombus is 64 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

cm


Answer:_______________




9)  

 Area of a rhombus is 125 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 2 cm. Find the length of the other diagonal.

cm


Answer:_______________




 

1)  

 Area of a rhombus is 69 cm2. one of its diagonal is 13 cm. Find the length of the other diagonal.

Answer: 138 cm


SOLUTION 1 :

Given   :

Area = 69 cm2

diagonal(d1) =  13cm

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

                          69    =   12 x 13 x d2

                   (2 x 69)13  =  d2

                            13813  = d2

                           10.6 cm  = d2

The length  of the other diagonal  =  10.6cm



2)  

 Area of a rhombus is 144 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

Answer: 288 cm


SOLUTION 1 :

Given   :

Area = 144 cm2

diagonal(d1) =  8cm

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

                          144    =   12 x 8 x d2

                   (2 x 144)8  =  d2

                            2888  = d2

                           36.0 cm  = d2

The length  of the other diagonal  =  36.0cm



3)  

 Area of a rhombus is 55 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 110 cm


SOLUTION 1 :

Given   :

Area = 55 cm2

diagonal(d1) =  11cm

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

                          55    =   12 x 11 x d2

                   (2 x 55)11  =  d2

                            11011  = d2

                           10.0 cm  = d2

The length  of the other diagonal  =  10.0cm



4)  

 Area of a rhombus is 105 cm2. one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 210 cm


SOLUTION 1 :

Given   :

Area = 105 cm2

diagonal(d1) =  3cm

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

                          105    =   12 x 3 x d2

                   (2 x 105)3  =  d2

                            2103  = d2

                           70.0 cm  = d2

The length  of the other diagonal  =  70.0cm



5)  

 Area of a rhombus is 147 cm2. one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 294 cm


SOLUTION 1 :

Given   :

Area = 147 cm2

diagonal(d1) =  11cm

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

                          147    =   12 x 11 x d2

                   (2 x 147)11  =  d2

                            29411  = d2

                           26.7 cm  = d2

The length  of the other diagonal  =  26.7cm



6)  

 Area of a rhombus is 75 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

Answer: 150 cm


SOLUTION 1 :

Given   :

Area = 75 cm2

diagonal(d1) =  8cm

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

                          75    =   12 x 8 x d2

                   (2 x 75)8  =  d2

                            1508  = d2

                           18.8 cm  = d2

The length  of the other diagonal  =  18.8cm



7)  

 Area of a rhombus is 55 cm2. one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 110 cm


SOLUTION 1 :

Given   :

Area = 55 cm2

diagonal(d1) =  5cm

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

                          55    =   12 x 5 x d2

                   (2 x 55)5  =  d2

                            1105  = d2

                           22.0 cm  = d2

The length  of the other diagonal  =  22.0cm



8)  

 Area of a rhombus is 64 cm2. one of its diagonal is 12 cm. Find the length of the other diagonal.

Answer: 128 cm


SOLUTION 1 :

Given   :

Area = 64 cm2

diagonal(d1) =  12cm

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

                          64    =   12 x 12 x d2

                   (2 x 64)12  =  d2

                            12812  = d2

                           10.7 cm  = d2

The length  of the other diagonal  =  10.7cm



9)  

 Area of a rhombus is 125 cm2. one of its diagonal is 8 cm. Find the length of the other diagonal.

Answer: 250 cm


SOLUTION 1 :

Given   :

Area = 125 cm2

diagonal(d1) =  8cm

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

                          125    =   12 x 8 x d2

                   (2 x 125)8  =  d2

                            2508  = d2

                           31.3 cm  = d2

The length  of the other diagonal  =  31.3cm



10)  

 Area of a rhombus is 115 cm2. one of its diagonal is 2 cm. Find the length of the other diagonal.

Answer: 230 cm


SOLUTION 1 :

Given   :

Area = 115 cm2

diagonal(d1) =  2cm

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

                          115    =   12 x 2 x d2

                   (2 x 115)2  =  d2

                            2302  = d2

                           115.0 cm  = d2

The length  of the other diagonal  =  115.0cm