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

 38 cm
              37cm                                   67cm

 

cm2


Answer:_______________




2)  

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

 24 cm
              16cm                                   72cm

 

cm2


Answer:_______________




3)  

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

 34 cm
              22cm                                   54cm

 

cm2


Answer:_______________




4)  

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

 12 cm
              34cm                                   82cm

 

cm2


Answer:_______________




5)  

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

 10 cm
              43cm                                   79cm

 

cm2


Answer:_______________




6)  

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

 15 cm
              22cm                                   65cm

 

cm2


Answer:_______________




7)  

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

 29 cm
              32cm                                   59cm

 

cm2


Answer:_______________




8)  

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

 18 cm
              44cm                                   93cm

 

cm2


Answer:_______________




9)  

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

 45 cm
              50cm                                   76cm

 

cm2


Answer:_______________




10)  

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

 13 cm
              10cm                                   79cm

 

cm2


Answer:_______________




 

1)  

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

 38 cm
              37cm                                   67cm

 

Answer: 1273 cm2


SOLUTION 1 :
38 cm 
               37 cm                                  67 cm

 


Step 1: AC = 37 cm + 67 cm


                 = 104 cm


Step 2: Area of ACD → 12 x 104 cm x 38 cm = 1976 cm2


Step 3: Area of ABD → 12 x 37 cm x 38 cm = 703 cm2


Step 4: Area of unshaded triangle BCD → 1976 cm2 - 703 cm2 = 1273 cm2



2)  

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

 24 cm
              16cm                                   72cm

 

Answer: 864 cm2


SOLUTION 1 :
24 cm 
               16 cm                                  72 cm

 


Step 1: AC = 16 cm + 72 cm


                 = 88 cm


Step 2: Area of ACD → 12 x 88 cm x 24 cm = 1056 cm2


Step 3: Area of ABD  → 12 x 16 cm x 24 cm = 192 cm2


Step 4: Area of unshaded triangle BCD → 1056 cm2 - 192 cm2 = 864 cm2



3)  

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

 34 cm
              22cm                                   54cm

 

Answer: 918 cm2


SOLUTION 1 :
34 cm 
               22 cm                                  54 cm

 


Step 1: AC = 22 cm + 54 cm


                 = 76 cm


Step 2: Area of ACD → 12 x 76 cm x 34 cm = 1292 cm2


Step 3: Area of ABD  → 12 x 22 cm x 34 cm = 374 cm2


Step 4: Area of unshaded triangle BCD → 1292 cm2 - 374 cm2 = 918 cm2



4)  

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

 12 cm
              34cm                                   82cm

 

Answer: 492 cm2


SOLUTION 1 :
12 cm 
               34 cm                                  82 cm

 


Step 1: AC = 34 cm + 82 cm


                 = 116 cm


Step 2: Area of ACD → 12 x 116 cm x 12 cm = 696 cm2


Step 3: Area of ABD  → 12 x 34 cm x 12 cm = 204 cm2


Step 4: Area of unshaded triangle BCD → 696 cm2 - 204 cm2 = 492 cm2



5)  

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

 10 cm
              43cm                                   79cm

 

Answer: 395 cm2


SOLUTION 1 :
10 cm 
               43 cm                                  79 cm

 


Step 1: AC = 43 cm + 79 cm


                 = 122 cm


Step 2: Area of ACD → 12 x 122 cm x 10 cm = 610 cm2


Step 3: Area of ABD → 12 x 43 cm x 10 cm = 215 cm2


Step 4: Area of unshaded triangle BCD → 610 cm2 - 215 cm2 = 395 cm2



6)  

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

 15 cm
              22cm                                   65cm

 

Answer: 487.5 cm2


SOLUTION 1 :
15 cm 
               22 cm                                  65 cm

 


Step 1: AC = 22 cm + 65 cm


                 = 87 cm


Step 2: Area of ACD → 12 x 87 cm x 15 cm = 652.5 cm2


Step 3: Area of ABD  → 12 x 22 cm x 15 cm = 165 cm2


Step 4: Area of unshaded triangle BCD → 652.5 cm2 - 165 cm2 = 487.5 cm2



7)  

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

 29 cm
              32cm                                   59cm

 

Answer: 855.5 cm2


SOLUTION 1 :
29 cm 
               32 cm                                  59 cm

 


Step 1: AC = 32 cm + 59 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 29 cm = 1319.5 cm2


Step 3: Area of ABD  → 12 x 32 cm x 29 cm = 464 cm2


Step 4: Area of unshaded triangle BCD → 1319.5 cm2 - 464 cm2 = 855.5 cm2



8)  

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

 18 cm
              44cm                                   93cm

 

Answer: 837 cm2


SOLUTION 1 :
18 cm 
               44 cm                                  93 cm

 


Step 1: AC = 44 cm + 93 cm


                 = 137 cm


Step 2: Area of ACD → 12 x 137 cm x 18 cm = 1233 cm2


Step 3: Area of ABD  → 12 x 44 cm x 18 cm = 396 cm2


Step 4: Area of unshaded triangle BCD → 1233 cm2 - 396 cm2 = 837 cm2



9)  

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

 45 cm
              50cm                                   76cm

 

Answer: 1710 cm2


SOLUTION 1 :
45 cm 
               50 cm                                  76 cm

 


Step 1: AC = 50 cm + 76 cm


                 = 126 cm


Step 2: Area of ACD → 12 x 126 cm x 45 cm = 2835 cm2


Step 3: Area of ABD → 12 x 50 cm x 45 cm = 1125 cm2


Step 4: Area of unshaded triangle BCD → 2835 cm2 - 1125 cm2 = 1710 cm2



10)  

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

 13 cm
              10cm                                   79cm

 

Answer: 513.5 cm2


SOLUTION 1 :
13 cm 
               10 cm                                  79 cm

 


Step 1: AC = 10 cm + 79 cm


                 = 89 cm


Step 2: Area of ACD → 12 x 89 cm x 13 cm = 578.5 cm2


Step 3: Area of ABD  → 12 x 10 cm x 13 cm = 65 cm2


Step 4: Area of unshaded triangle BCD → 578.5 cm2 - 65 cm2 = 513.5 cm2