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

 42 cm
              45cm                                   95cm

 

cm2


Answer:_______________




2)  

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

 21 cm
              11cm                                   97cm

 

cm2


Answer:_______________




3)  

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

 12 cm
              12cm                                   46cm

 

cm2


Answer:_______________




4)  

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

 44 cm
              39cm                                   99cm

 

cm2


Answer:_______________




5)  

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

 39 cm
              11cm                                   78cm

 

cm2


Answer:_______________




6)  

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

 17 cm
              31cm                                   92cm

 

cm2


Answer:_______________




7)  

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

 13 cm
              20cm                                   73cm

 

cm2


Answer:_______________




8)  

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

 36 cm
              39cm                                   77cm

 

cm2


Answer:_______________




9)  

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

 25 cm
              35cm                                   93cm

 

cm2


Answer:_______________




10)  

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

 33 cm
              14cm                                   85cm

 

cm2


Answer:_______________




 

1)  

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

 42 cm
              45cm                                   95cm

 

Answer: 1995 cm2


SOLUTION 1 :
42 cm 
               45 cm                                  95 cm

 


Step 1: AC = 45 cm + 95 cm


                 = 140 cm


Step 2: Area of ACD → 12 x 140 cm x 42 cm = 2940 cm2


Step 3: Area of ABD  → 12 x 45 cm x 42 cm = 945 cm2


Step 4: Area of unshaded triangle BCD → 2940 cm2 - 945 cm2 = 1995 cm2



2)  

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

 21 cm
              11cm                                   97cm

 

Answer: 1018.5 cm2


SOLUTION 1 :
21 cm 
               11 cm                                  97 cm

 


Step 1: AC = 11 cm + 97 cm


                 = 108 cm


Step 2: Area of ACD → 12 x 108 cm x 21 cm = 1134 cm2


Step 3: Area of ABD  → 12 x 11 cm x 21 cm = 115.5 cm2


Step 4: Area of unshaded triangle BCD → 1134 cm2 - 115.5 cm2 = 1018.5 cm2



3)  

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

 12 cm
              12cm                                   46cm

 

Answer: 276 cm2


SOLUTION 1 :
12 cm 
               12 cm                                  46 cm

 


Step 1: AC = 12 cm + 46 cm


                 = 58 cm


Step 2: Area of ACD → 12 x 58 cm x 12 cm = 348 cm2


Step 3: Area of ABD  → 12 x 12 cm x 12 cm = 72 cm2


Step 4: Area of unshaded triangle BCD → 348 cm2 - 72 cm2 = 276 cm2



4)  

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

 44 cm
              39cm                                   99cm

 

Answer: 2178 cm2


SOLUTION 1 :
44 cm 
               39 cm                                  99 cm

 


Step 1: AC = 39 cm + 99 cm


                 = 138 cm


Step 2: Area of ACD → 12 x 138 cm x 44 cm = 3036 cm2


Step 3: Area of ABD → 12 x 39 cm x 44 cm = 858 cm2


Step 4: Area of unshaded triangle BCD → 3036 cm2 - 858 cm2 = 2178 cm2



5)  

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

 39 cm
              11cm                                   78cm

 

Answer: 1521 cm2


SOLUTION 1 :
39 cm 
               11 cm                                  78 cm

 


Step 1: AC = 11 cm + 78 cm


                 = 89 cm


Step 2: Area of ACD → 12 x 89 cm x 39 cm = 1735.5 cm2


Step 3: Area of ABD  → 12 x 11 cm x 39 cm = 214.5 cm2


Step 4: Area of unshaded triangle BCD → 1735.5 cm2 - 214.5 cm2 = 1521 cm2



6)  

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

 17 cm
              31cm                                   92cm

 

Answer: 782 cm2


SOLUTION 1 :
17 cm 
               31 cm                                  92 cm

 


Step 1: AC = 31 cm + 92 cm


                 = 123 cm


Step 2: Area of ACD → 12 x 123 cm x 17 cm = 1045.5 cm2


Step 3: Area of ABD  → 12 x 31 cm x 17 cm = 263.5 cm2


Step 4: Area of unshaded triangle BCD → 1045.5 cm2 - 263.5 cm2 = 782 cm2



7)  

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

 13 cm
              20cm                                   73cm

 

Answer: 474.5 cm2


SOLUTION 1 :
13 cm 
               20 cm                                  73 cm

 


Step 1: AC = 20 cm + 73 cm


                 = 93 cm


Step 2: Area of ACD → 12 x 93 cm x 13 cm = 604.5 cm2


Step 3: Area of ABD  → 12 x 20 cm x 13 cm = 130 cm2


Step 4: Area of unshaded triangle BCD → 604.5 cm2 - 130 cm2 = 474.5 cm2



8)  

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

 36 cm
              39cm                                   77cm

 

Answer: 1386 cm2


SOLUTION 1 :
36 cm 
               39 cm                                  77 cm

 


Step 1: AC = 39 cm + 77 cm


                 = 116 cm


Step 2: Area of ACD → 12 x 116 cm x 36 cm = 2088 cm2


Step 3: Area of ABD → 12 x 39 cm x 36 cm = 702 cm2


Step 4: Area of unshaded triangle BCD → 2088 cm2 - 702 cm2 = 1386 cm2



9)  

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

 25 cm
              35cm                                   93cm

 

Answer: 1162.5 cm2


SOLUTION 1 :
25 cm 
               35 cm                                  93 cm

 


Step 1: AC = 35 cm + 93 cm


                 = 128 cm


Step 2: Area of ACD → 12 x 128 cm x 25 cm = 1600 cm2


Step 3: Area of ABD  → 12 x 35 cm x 25 cm = 437.5 cm2


Step 4: Area of unshaded triangle BCD → 1600 cm2 - 437.5 cm2 = 1162.5 cm2



10)  

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

 33 cm
              14cm                                   85cm

 

Answer: 1402.5 cm2


SOLUTION 1 :
33 cm 
               14 cm                                  85 cm

 


Step 1: AC = 14 cm + 85 cm


                 = 99 cm


Step 2: Area of ACD → 12 x 99 cm x 33 cm = 1633.5 cm2


Step 3: Area of ABD  → 12 x 14 cm x 33 cm = 231 cm2


Step 4: Area of unshaded triangle BCD → 1633.5 cm2 - 231 cm2 = 1402.5 cm2