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

 37 cm
              37cm                                   95cm

 

cm2


Answer:_______________




2)  

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

 13 cm
              12cm                                   68cm

 

cm2


Answer:_______________




3)  

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

 19 cm
              10cm                                   71cm

 

cm2


Answer:_______________




4)  

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

 34 cm
              22cm                                   99cm

 

cm2


Answer:_______________




5)  

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

 43 cm
              22cm                                   72cm

 

cm2


Answer:_______________




6)  

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

 21 cm
              21cm                                   49cm

 

cm2


Answer:_______________




7)  

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

 30 cm
              29cm                                   63cm

 

cm2


Answer:_______________




8)  

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

 38 cm
              38cm                                   66cm

 

cm2


Answer:_______________




9)  

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

 38 cm
              27cm                                   71cm

 

cm2


Answer:_______________




10)  

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

 23 cm
              17cm                                   40cm

 

cm2


Answer:_______________




 

1)  

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

 37 cm
              37cm                                   95cm

 

Answer: 1757.5 cm2


SOLUTION 1 :
37 cm 
               37 cm                                  95 cm

 


Step 1: AC = 37 cm + 95 cm


                 = 132 cm


Step 2: Area of ACD → 12 x 132 cm x 37 cm = 2442 cm2


Step 3: Area of ABD  → 12 x 37 cm x 37 cm = 684.5 cm2


Step 4: Area of unshaded triangle BCD → 2442 cm2 - 684.5 cm2 = 1757.5 cm2



2)  

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

 13 cm
              12cm                                   68cm

 

Answer: 442 cm2


SOLUTION 1 :
13 cm 
               12 cm                                  68 cm

 


Step 1: AC = 12 cm + 68 cm


                 = 80 cm


Step 2: Area of ACD → 12 x 80 cm x 13 cm = 520 cm2


Step 3: Area of ABD  → 12 x 12 cm x 13 cm = 78 cm2


Step 4: Area of unshaded triangle BCD → 520 cm2 - 78 cm2 = 442 cm2



3)  

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

 19 cm
              10cm                                   71cm

 

Answer: 674.5 cm2


SOLUTION 1 :
19 cm 
               10 cm                                  71 cm

 


Step 1: AC = 10 cm + 71 cm


                 = 81 cm


Step 2: Area of ACD → 12 x 81 cm x 19 cm = 769.5 cm2


Step 3: Area of ABD  → 12 x 10 cm x 19 cm = 95 cm2


Step 4: Area of unshaded triangle BCD → 769.5 cm2 - 95 cm2 = 674.5 cm2



4)  

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

 34 cm
              22cm                                   99cm

 

Answer: 1683 cm2


SOLUTION 1 :
34 cm 
               22 cm                                  99 cm

 


Step 1: AC = 22 cm + 99 cm


                 = 121 cm


Step 2: Area of ACD → 12 x 121 cm x 34 cm = 2057 cm2


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


Step 4: Area of unshaded triangle BCD → 2057 cm2 - 374 cm2 = 1683 cm2



5)  

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

 43 cm
              22cm                                   72cm

 

Answer: 1548 cm2


SOLUTION 1 :
43 cm 
               22 cm                                  72 cm

 


Step 1: AC = 22 cm + 72 cm


                 = 94 cm


Step 2: Area of ACD → 12 x 94 cm x 43 cm = 2021 cm2


Step 3: Area of ABD  → 12 x 22 cm x 43 cm = 473 cm2


Step 4: Area of unshaded triangle BCD → 2021 cm2 - 473 cm2 = 1548 cm2



6)  

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

 21 cm
              21cm                                   49cm

 

Answer: 514.5 cm2


SOLUTION 1 :
21 cm 
               21 cm                                  49 cm

 


Step 1: AC = 21 cm + 49 cm


                 = 70 cm


Step 2: Area of ACD → 12 x 70 cm x 21 cm = 735 cm2


Step 3: Area of ABD  → 12 x 21 cm x 21 cm = 220.5 cm2


Step 4: Area of unshaded triangle BCD → 735 cm2 - 220.5 cm2 = 514.5 cm2



7)  

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

 30 cm
              29cm                                   63cm

 

Answer: 945 cm2


SOLUTION 1 :
30 cm 
               29 cm                                  63 cm

 


Step 1: AC = 29 cm + 63 cm


                 = 92 cm


Step 2: Area of ACD → 12 x 92 cm x 30 cm = 1380 cm2


Step 3: Area of ABD  → 12 x 29 cm x 30 cm = 435 cm2


Step 4: Area of unshaded triangle BCD → 1380 cm2 - 435 cm2 = 945 cm2



8)  

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

 38 cm
              38cm                                   66cm

 

Answer: 1254 cm2


SOLUTION 1 :
38 cm 
               38 cm                                  66 cm

 


Step 1: AC = 38 cm + 66 cm


                 = 104 cm


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


Step 3: Area of ABD → 12 x 38 cm x 38 cm = 722 cm2


Step 4: Area of unshaded triangle BCD → 1976 cm2 - 722 cm2 = 1254 cm2



9)  

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

 38 cm
              27cm                                   71cm

 

Answer: 1349 cm2


SOLUTION 1 :
38 cm 
               27 cm                                  71 cm

 


Step 1: AC = 27 cm + 71 cm


                 = 98 cm


Step 2: Area of ACD → 12 x 98 cm x 38 cm = 1862 cm2


Step 3: Area of ABD  → 12 x 27 cm x 38 cm = 513 cm2


Step 4: Area of unshaded triangle BCD → 1862 cm2 - 513 cm2 = 1349 cm2



10)  

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

 23 cm
              17cm                                   40cm

 

Answer: 460 cm2


SOLUTION 1 :
23 cm 
               17 cm                                  40 cm

 


Step 1: AC = 17 cm + 40 cm


                 = 57 cm


Step 2: Area of ACD → 12 x 57 cm x 23 cm = 655.5 cm2


Step 3: Area of ABD  → 12 x 17 cm x 23 cm = 195.5 cm2


Step 4: Area of unshaded triangle BCD → 655.5 cm2 - 195.5 cm2 = 460 cm2