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

 11 cm
              15cm                                   66cm

 

cm2


Answer:_______________




2)  

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

 11 cm
              14cm                                   45cm

 

cm2


Answer:_______________




3)  

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

 50 cm
              22cm                                   98cm

 

cm2


Answer:_______________




4)  

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

 14 cm
              16cm                                   88cm

 

cm2


Answer:_______________




5)  

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

 30 cm
              11cm                                   53cm

 

cm2


Answer:_______________




6)  

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

 17 cm
              25cm                                   66cm

 

cm2


Answer:_______________




7)  

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

 33 cm
              41cm                                   65cm

 

cm2


Answer:_______________




8)  

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

 12 cm
              38cm                                   67cm

 

cm2


Answer:_______________




9)  

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

 21 cm
              35cm                                   66cm

 

cm2


Answer:_______________




10)  

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

 15 cm
              21cm                                   67cm

 

cm2


Answer:_______________




 

1)  

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

 11 cm
              15cm                                   66cm

 

Answer: 363 cm2


SOLUTION 1 :
11 cm 
               15 cm                                  66 cm

 


Step 1: AC = 15 cm + 66 cm


                 = 81 cm


Step 2: Area of ACD → 12 x 81 cm x 11 cm = 445.5 cm2


Step 3: Area of ABD  → 12 x 15 cm x 11 cm = 82.5 cm2


Step 4: Area of unshaded triangle BCD → 445.5 cm2 - 82.5 cm2 = 363 cm2



2)  

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

 11 cm
              14cm                                   45cm

 

Answer: 247.5 cm2


SOLUTION 1 :
11 cm 
               14 cm                                  45 cm

 


Step 1: AC = 14 cm + 45 cm


                 = 59 cm


Step 2: Area of ACD → 12 x 59 cm x 11 cm = 324.5 cm2


Step 3: Area of ABD  → 12 x 14 cm x 11 cm = 77 cm2


Step 4: Area of unshaded triangle BCD → 324.5 cm2 - 77 cm2 = 247.5 cm2



3)  

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

 50 cm
              22cm                                   98cm

 

Answer: 2450 cm2


SOLUTION 1 :
50 cm 
               22 cm                                  98 cm

 


Step 1: AC = 22 cm + 98 cm


                 = 120 cm


Step 2: Area of ACD → 12 x 120 cm x 50 cm = 3000 cm2


Step 3: Area of ABD → 12 x 22 cm x 50 cm = 550 cm2


Step 4: Area of unshaded triangle BCD → 3000 cm2 - 550 cm2 = 2450 cm2



4)  

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

 14 cm
              16cm                                   88cm

 

Answer: 616 cm2


SOLUTION 1 :
14 cm 
               16 cm                                  88 cm

 


Step 1: AC = 16 cm + 88 cm


                 = 104 cm


Step 2: Area of ACD → 12 x 104 cm x 14 cm = 728 cm2


Step 3: Area of ABD  → 12 x 16 cm x 14 cm = 112 cm2


Step 4: Area of unshaded triangle BCD → 728 cm2 - 112 cm2 = 616 cm2



5)  

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

 30 cm
              11cm                                   53cm

 

Answer: 795 cm2


SOLUTION 1 :
30 cm 
               11 cm                                  53 cm

 


Step 1: AC = 11 cm + 53 cm


                 = 64 cm


Step 2: Area of ACD → 12 x 64 cm x 30 cm = 960 cm2


Step 3: Area of ABD  → 12 x 11 cm x 30 cm = 165 cm2


Step 4: Area of unshaded triangle BCD → 960 cm2 - 165 cm2 = 795 cm2



6)  

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

 17 cm
              25cm                                   66cm

 

Answer: 561 cm2


SOLUTION 1 :
17 cm 
               25 cm                                  66 cm

 


Step 1: AC = 25 cm + 66 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 17 cm = 773.5 cm2


Step 3: Area of ABD  → 12 x 25 cm x 17 cm = 212.5 cm2


Step 4: Area of unshaded triangle BCD → 773.5 cm2 - 212.5 cm2 = 561 cm2



7)  

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

 33 cm
              41cm                                   65cm

 

Answer: 1072.5 cm2


SOLUTION 1 :
33 cm 
               41 cm                                  65 cm

 


Step 1: AC = 41 cm + 65 cm


                 = 106 cm


Step 2: Area of ACD → 12 x 106 cm x 33 cm = 1749 cm2


Step 3: Area of ABD → 12 x 41 cm x 33 cm = 676.5 cm2


Step 4: Area of unshaded triangle BCD → 1749 cm2 - 676.5 cm2 = 1072.5 cm2



8)  

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

 12 cm
              38cm                                   67cm

 

Answer: 402 cm2


SOLUTION 1 :
12 cm 
               38 cm                                  67 cm

 


Step 1: AC = 38 cm + 67 cm


                 = 105 cm


Step 2: Area of ACD → 12 x 105 cm x 12 cm = 630 cm2


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


Step 4: Area of unshaded triangle BCD → 630 cm2 - 228 cm2 = 402 cm2



9)  

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

 21 cm
              35cm                                   66cm

 

Answer: 693 cm2


SOLUTION 1 :
21 cm 
               35 cm                                  66 cm

 


Step 1: AC = 35 cm + 66 cm


                 = 101 cm


Step 2: Area of ACD → 12 x 101 cm x 21 cm = 1060.5 cm2


Step 3: Area of ABD  → 12 x 35 cm x 21 cm = 367.5 cm2


Step 4: Area of unshaded triangle BCD → 1060.5 cm2 - 367.5 cm2 = 693 cm2



10)  

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

 15 cm
              21cm                                   67cm

 

Answer: 502.5 cm2


SOLUTION 1 :
15 cm 
               21 cm                                  67 cm

 


Step 1: AC = 21 cm + 67 cm


                 = 88 cm


Step 2: Area of ACD → 12 x 88 cm x 15 cm = 660 cm2


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


Step 4: Area of unshaded triangle BCD → 660 cm2 - 157.5 cm2 = 502.5 cm2