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

 17 cm
              13cm                                   48cm

 

cm2


Answer:_______________




2)  

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

 19 cm
              31cm                                   53cm

 

cm2


Answer:_______________




3)  

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

 39 cm
              43cm                                   83cm

 

cm2


Answer:_______________




4)  

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

 26 cm
              28cm                                   61cm

 

cm2


Answer:_______________




5)  

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

 25 cm
              19cm                                   49cm

 

cm2


Answer:_______________




6)  

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

 38 cm
              12cm                                   80cm

 

cm2


Answer:_______________




7)  

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

 12 cm
              25cm                                   82cm

 

cm2


Answer:_______________




8)  

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

 28 cm
              20cm                                   59cm

 

cm2


Answer:_______________




9)  

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

 20 cm
              15cm                                   77cm

 

cm2


Answer:_______________




10)  

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

 15 cm
              20cm                                   82cm

 

cm2


Answer:_______________




 

1)  

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

 17 cm
              13cm                                   48cm

 

Answer: 408 cm2


SOLUTION 1 :
17 cm 
               13 cm                                  48 cm

 


Step 1: AC = 13 cm + 48 cm


                 = 61 cm


Step 2: Area of ACD → 12 x 61 cm x 17 cm = 518.5 cm2


Step 3: Area of ABD  → 12 x 13 cm x 17 cm = 110.5 cm2


Step 4: Area of unshaded triangle BCD → 518.5 cm2 - 110.5 cm2 = 408 cm2



2)  

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

 19 cm
              31cm                                   53cm

 

Answer: 503.5 cm2


SOLUTION 1 :
19 cm 
               31 cm                                  53 cm

 


Step 1: AC = 31 cm + 53 cm


                 = 84 cm


Step 2: Area of ACD → 12 x 84 cm x 19 cm = 798 cm2


Step 3: Area of ABD  → 12 x 31 cm x 19 cm = 294.5 cm2


Step 4: Area of unshaded triangle BCD → 798 cm2 - 294.5 cm2 = 503.5 cm2



3)  

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

 39 cm
              43cm                                   83cm

 

Answer: 1618.5 cm2


SOLUTION 1 :
39 cm 
               43 cm                                  83 cm

 


Step 1: AC = 43 cm + 83 cm


                 = 126 cm


Step 2: Area of ACD → 12 x 126 cm x 39 cm = 2457 cm2


Step 3: Area of ABD → 12 x 43 cm x 39 cm = 838.5 cm2


Step 4: Area of unshaded triangle BCD → 2457 cm2 - 838.5 cm2 = 1618.5 cm2



4)  

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

 26 cm
              28cm                                   61cm

 

Answer: 793 cm2


SOLUTION 1 :
26 cm 
               28 cm                                  61 cm

 


Step 1: AC = 28 cm + 61 cm


                 = 89 cm


Step 2: Area of ACD → 12 x 89 cm x 26 cm = 1157 cm2


Step 3: Area of ABD  → 12 x 28 cm x 26 cm = 364 cm2


Step 4: Area of unshaded triangle BCD → 1157 cm2 - 364 cm2 = 793 cm2



5)  

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

 25 cm
              19cm                                   49cm

 

Answer: 612.5 cm2


SOLUTION 1 :
25 cm 
               19 cm                                  49 cm

 


Step 1: AC = 19 cm + 49 cm


                 = 68 cm


Step 2: Area of ACD → 12 x 68 cm x 25 cm = 850 cm2


Step 3: Area of ABD  → 12 x 19 cm x 25 cm = 237.5 cm2


Step 4: Area of unshaded triangle BCD → 850 cm2 - 237.5 cm2 = 612.5 cm2



6)  

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

 38 cm
              12cm                                   80cm

 

Answer: 1520 cm2


SOLUTION 1 :
38 cm 
               12 cm                                  80 cm

 


Step 1: AC = 12 cm + 80 cm


                 = 92 cm


Step 2: Area of ACD → 12 x 92 cm x 38 cm = 1748 cm2


Step 3: Area of ABD  → 12 x 12 cm x 38 cm = 228 cm2


Step 4: Area of unshaded triangle BCD → 1748 cm2 - 228 cm2 = 1520 cm2



7)  

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

 12 cm
              25cm                                   82cm

 

Answer: 492 cm2


SOLUTION 1 :
12 cm 
               25 cm                                  82 cm

 


Step 1: AC = 25 cm + 82 cm


                 = 107 cm


Step 2: Area of ACD → 12 x 107 cm x 12 cm = 642 cm2


Step 3: Area of ABD → 12 x 25 cm x 12 cm = 150 cm2


Step 4: Area of unshaded triangle BCD → 642 cm2 - 150 cm2 = 492 cm2



8)  

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

 28 cm
              20cm                                   59cm

 

Answer: 826 cm2


SOLUTION 1 :
28 cm 
               20 cm                                  59 cm

 


Step 1: AC = 20 cm + 59 cm


                 = 79 cm


Step 2: Area of ACD → 12 x 79 cm x 28 cm = 1106 cm2


Step 3: Area of ABD  → 12 x 20 cm x 28 cm = 280 cm2


Step 4: Area of unshaded triangle BCD → 1106 cm2 - 280 cm2 = 826 cm2



9)  

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

 20 cm
              15cm                                   77cm

 

Answer: 770 cm2


SOLUTION 1 :
20 cm 
               15 cm                                  77 cm

 


Step 1: AC = 15 cm + 77 cm


                 = 92 cm


Step 2: Area of ACD → 12 x 92 cm x 20 cm = 920 cm2


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


Step 4: Area of unshaded triangle BCD → 920 cm2 - 150 cm2 = 770 cm2



10)  

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

 15 cm
              20cm                                   82cm

 

Answer: 615 cm2


SOLUTION 1 :
15 cm 
               20 cm                                  82 cm

 


Step 1: AC = 20 cm + 82 cm


                 = 102 cm


Step 2: Area of ACD → 12 x 102 cm x 15 cm = 765 cm2


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


Step 4: Area of unshaded triangle BCD → 765 cm2 - 150 cm2 = 615 cm2