Scroll:Measurement >> Area of Triangle >> saq (1585)

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)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 16 cm
              26cm                                   59cm

 

cm2


Answer:_______________




2)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 46 cm
              43cm                                   75cm

 

cm2


Answer:_______________




3)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 23 cm
              35cm                                   56cm

 

cm2


Answer:_______________




4)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 15 cm
              21cm                                   79cm

 

cm2


Answer:_______________




5)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 34 cm
              27cm                                   89cm

 

cm2


Answer:_______________




6)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 41 cm
              24cm                                   66cm

 

cm2


Answer:_______________




7)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 39 cm
              20cm                                   68cm

 

cm2


Answer:_______________




8)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 15 cm
              20cm                                   50cm

 

cm2


Answer:_______________




9)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 22 cm
              31cm                                   85cm

 

cm2


Answer:_______________




10)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 21 cm
              30cm                                   95cm

 

cm2


Answer:_______________




 

1)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 16 cm
              26cm                                   59cm

 

Answer: 472 cm2


SOLUTION 1 :
16 cm 
               26 cm                                  59 cm

 


Step 1: AC = 26 cm + 59 cm


                 = 85 cm


Step 2: Area of ACD → 12 x 85 cm x 16 cm = 680 cm2


Step 3: Area of ABD  → 12 x 26 cm x 16 cm = 208 cm2


Step 4: Area of unshaded triangle BCD → 680 cm2 - 208 cm2 = 472 cm2



2)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 46 cm
              43cm                                   75cm

 

Answer: 1725 cm2


SOLUTION 1 :
46 cm 
               43 cm                                  75 cm

 


Step 1: AC = 43 cm + 75 cm


                 = 118 cm


Step 2: Area of ACD → 12 x 118 cm x 46 cm = 2714 cm2


Step 3: Area of ABD → 12 x 43 cm x 46 cm = 989 cm2


Step 4: Area of unshaded triangle BCD → 2714 cm2 - 989 cm2 = 1725 cm2



3)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 23 cm
              35cm                                   56cm

 

Answer: 644 cm2


SOLUTION 1 :
23 cm 
               35 cm                                  56 cm

 


Step 1: AC = 35 cm + 56 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 23 cm = 1046.5 cm2


Step 3: Area of ABD  → 12 x 35 cm x 23 cm = 402.5 cm2


Step 4: Area of unshaded triangle BCD → 1046.5 cm2 - 402.5 cm2 = 644 cm2



4)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 15 cm
              21cm                                   79cm

 

Answer: 592.5 cm2


SOLUTION 1 :
15 cm 
               21 cm                                  79 cm

 


Step 1: AC = 21 cm + 79 cm


                 = 100 cm


Step 2: Area of ACD → 12 x 100 cm x 15 cm = 750 cm2


Step 3: Area of ABD  → 12 x 21 cm x 15 cm = 157.5 cm2


Step 4: Area of unshaded triangle BCD → 750 cm2 - 157.5 cm2 = 592.5 cm2



5)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 34 cm
              27cm                                   89cm

 

Answer: 1513 cm2


SOLUTION 1 :
34 cm 
               27 cm                                  89 cm

 


Step 1: AC = 27 cm + 89 cm


                 = 116 cm


Step 2: Area of ACD → 12 x 116 cm x 34 cm = 1972 cm2


Step 3: Area of ABD  → 12 x 27 cm x 34 cm = 459 cm2


Step 4: Area of unshaded triangle BCD → 1972 cm2 - 459 cm2 = 1513 cm2



6)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 41 cm
              24cm                                   66cm

 

Answer: 1353 cm2


SOLUTION 1 :
41 cm 
               24 cm                                  66 cm

 


Step 1: AC = 24 cm + 66 cm


                 = 90 cm


Step 2: Area of ACD → 12 x 90 cm x 41 cm = 1845 cm2


Step 3: Area of ABD → 12 x 24 cm x 41 cm = 492 cm2


Step 4: Area of unshaded triangle BCD → 1845 cm2 - 492 cm2 = 1353 cm2



7)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 39 cm
              20cm                                   68cm

 

Answer: 1326 cm2


SOLUTION 1 :
39 cm 
               20 cm                                  68 cm

 


Step 1: AC = 20 cm + 68 cm


                 = 88 cm


Step 2: Area of ACD → 12 x 88 cm x 39 cm = 1716 cm2


Step 3: Area of ABD  → 12 x 20 cm x 39 cm = 390 cm2


Step 4: Area of unshaded triangle BCD → 1716 cm2 - 390 cm2 = 1326 cm2



8)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 15 cm
              20cm                                   50cm

 

Answer: 375 cm2


SOLUTION 1 :
15 cm 
               20 cm                                  50 cm

 


Step 1: AC = 20 cm + 50 cm


                 = 70 cm


Step 2: Area of ACD → 12 x 70 cm x 15 cm = 525 cm2


Step 3: Area of ABD  → 12 x 20 cm x 15 cm = 150 cm2


Step 4: Area of unshaded triangle BCD → 525 cm2 - 150 cm2 = 375 cm2



9)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 22 cm
              31cm                                   85cm

 

Answer: 935 cm2


SOLUTION 1 :
22 cm 
               31 cm                                  85 cm

 


Step 1: AC = 31 cm + 85 cm


                 = 116 cm


Step 2: Area of ACD → 12 x 116 cm x 22 cm = 1276 cm2


Step 3: Area of ABD  → 12 x 31 cm x 22 cm = 341 cm2


Step 4: Area of unshaded triangle BCD → 1276 cm2 - 341 cm2 = 935 cm2



10)  

The figure is not drawn to scale.
What is the area of the unshaded triangle

 21 cm
              30cm                                   95cm

 

Answer: 997.5 cm2


SOLUTION 1 :
21 cm 
               30 cm                                  95 cm

 


Step 1: AC = 30 cm + 95 cm


                 = 125 cm


Step 2: Area of ACD → 12 x 125 cm x 21 cm = 1312.5 cm2


Step 3: Area of ABD → 12 x 30 cm x 21 cm = 315 cm2


Step 4: Area of unshaded triangle BCD → 1312.5 cm2 - 315 cm2 = 997.5 cm2