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

 39 cm
              49cm                                   66cm

 

cm2


Answer:_______________




2)  

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

 13 cm
              13cm                                   62cm

 

cm2


Answer:_______________




3)  

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

 22 cm
              16cm                                   69cm

 

cm2


Answer:_______________




4)  

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

 31 cm
              29cm                                   62cm

 

cm2


Answer:_______________




5)  

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

 15 cm
              41cm                                   62cm

 

cm2


Answer:_______________




6)  

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

 12 cm
              23cm                                   72cm

 

cm2


Answer:_______________




7)  

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

 11 cm
              21cm                                   94cm

 

cm2


Answer:_______________




8)  

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

 38 cm
              26cm                                   89cm

 

cm2


Answer:_______________




9)  

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

 45 cm
              17cm                                   71cm

 

cm2


Answer:_______________




10)  

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

 10 cm
              13cm                                   60cm

 

cm2


Answer:_______________




 

1)  

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

 39 cm
              49cm                                   66cm

 

Answer: 1287 cm2


SOLUTION 1 :
39 cm 
               49 cm                                  66 cm

 


Step 1: AC = 49 cm + 66 cm


                 = 115 cm


Step 2: Area of ACD → 12 x 115 cm x 39 cm = 2242.5 cm2


Step 3: Area of ABD → 12 x 49 cm x 39 cm = 955.5 cm2


Step 4: Area of unshaded triangle BCD → 2242.5 cm2 - 955.5 cm2 = 1287 cm2



2)  

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

 13 cm
              13cm                                   62cm

 

Answer: 403 cm2


SOLUTION 1 :
13 cm 
               13 cm                                  62 cm

 


Step 1: AC = 13 cm + 62 cm


                 = 75 cm


Step 2: Area of ACD → 12 x 75 cm x 13 cm = 487.5 cm2


Step 3: Area of ABD  → 12 x 13 cm x 13 cm = 84.5 cm2


Step 4: Area of unshaded triangle BCD → 487.5 cm2 - 84.5 cm2 = 403 cm2



3)  

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

 22 cm
              16cm                                   69cm

 

Answer: 759 cm2


SOLUTION 1 :
22 cm 
               16 cm                                  69 cm

 


Step 1: AC = 16 cm + 69 cm


                 = 85 cm


Step 2: Area of ACD → 12 x 85 cm x 22 cm = 935 cm2


Step 3: Area of ABD  → 12 x 16 cm x 22 cm = 176 cm2


Step 4: Area of unshaded triangle BCD → 935 cm2 - 176 cm2 = 759 cm2



4)  

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

 31 cm
              29cm                                   62cm

 

Answer: 961 cm2


SOLUTION 1 :
31 cm 
               29 cm                                  62 cm

 


Step 1: AC = 29 cm + 62 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 31 cm = 1410.5 cm2


Step 3: Area of ABD  → 12 x 29 cm x 31 cm = 449.5 cm2


Step 4: Area of unshaded triangle BCD → 1410.5 cm2 - 449.5 cm2 = 961 cm2



5)  

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

 15 cm
              41cm                                   62cm

 

Answer: 465 cm2


SOLUTION 1 :
15 cm 
               41 cm                                  62 cm

 


Step 1: AC = 41 cm + 62 cm


                 = 103 cm


Step 2: Area of ACD → 12 x 103 cm x 15 cm = 772.5 cm2


Step 3: Area of ABD → 12 x 41 cm x 15 cm = 307.5 cm2


Step 4: Area of unshaded triangle BCD → 772.5 cm2 - 307.5 cm2 = 465 cm2



6)  

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

 12 cm
              23cm                                   72cm

 

Answer: 432 cm2


SOLUTION 1 :
12 cm 
               23 cm                                  72 cm

 


Step 1: AC = 23 cm + 72 cm


                 = 95 cm


Step 2: Area of ACD → 12 x 95 cm x 12 cm = 570 cm2


Step 3: Area of ABD  → 12 x 23 cm x 12 cm = 138 cm2


Step 4: Area of unshaded triangle BCD → 570 cm2 - 138 cm2 = 432 cm2



7)  

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

 11 cm
              21cm                                   94cm

 

Answer: 517 cm2


SOLUTION 1 :
11 cm 
               21 cm                                  94 cm

 


Step 1: AC = 21 cm + 94 cm


                 = 115 cm


Step 2: Area of ACD → 12 x 115 cm x 11 cm = 632.5 cm2


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


Step 4: Area of unshaded triangle BCD → 632.5 cm2 - 115.5 cm2 = 517 cm2



8)  

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

 38 cm
              26cm                                   89cm

 

Answer: 1691 cm2


SOLUTION 1 :
38 cm 
               26 cm                                  89 cm

 


Step 1: AC = 26 cm + 89 cm


                 = 115 cm


Step 2: Area of ACD → 12 x 115 cm x 38 cm = 2185 cm2


Step 3: Area of ABD  → 12 x 26 cm x 38 cm = 494 cm2


Step 4: Area of unshaded triangle BCD → 2185 cm2 - 494 cm2 = 1691 cm2



9)  

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

 45 cm
              17cm                                   71cm

 

Answer: 1597.5 cm2


SOLUTION 1 :
45 cm 
               17 cm                                  71 cm

 


Step 1: AC = 17 cm + 71 cm


                 = 88 cm


Step 2: Area of ACD → 12 x 88 cm x 45 cm = 1980 cm2


Step 3: Area of ABD → 12 x 17 cm x 45 cm = 382.5 cm2


Step 4: Area of unshaded triangle BCD → 1980 cm2 - 382.5 cm2 = 1597.5 cm2



10)  

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

 10 cm
              13cm                                   60cm

 

Answer: 300 cm2


SOLUTION 1 :
10 cm 
               13 cm                                  60 cm

 


Step 1: AC = 13 cm + 60 cm


                 = 73 cm


Step 2: Area of ACD → 12 x 73 cm x 10 cm = 365 cm2


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


Step 4: Area of unshaded triangle BCD → 365 cm2 - 65 cm2 = 300 cm2