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

 49 cm
              43cm                                   64cm

 

cm2


Answer:_______________




2)  

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

 22 cm
              23cm                                   58cm

 

cm2


Answer:_______________




3)  

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

 12 cm
              33cm                                   52cm

 

cm2


Answer:_______________




4)  

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

 12 cm
              25cm                                   65cm

 

cm2


Answer:_______________




5)  

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

 47 cm
              27cm                                   98cm

 

cm2


Answer:_______________




6)  

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

 45 cm
              14cm                                   75cm

 

cm2


Answer:_______________




7)  

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

 28 cm
              18cm                                   97cm

 

cm2


Answer:_______________




8)  

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

 21 cm
              24cm                                   43cm

 

cm2


Answer:_______________




9)  

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

 49 cm
              11cm                                   76cm

 

cm2


Answer:_______________




10)  

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

 18 cm
              34cm                                   51cm

 

cm2


Answer:_______________




 

1)  

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

 49 cm
              43cm                                   64cm

 

Answer: 1568 cm2


SOLUTION 1 :
49 cm 
               43 cm                                  64 cm

 


Step 1: AC = 43 cm + 64 cm


                 = 107 cm


Step 2: Area of ACD → 12 x 107 cm x 49 cm = 2621.5 cm2


Step 3: Area of ABD → 12 x 43 cm x 49 cm = 1053.5 cm2


Step 4: Area of unshaded triangle BCD → 2621.5 cm2 - 1053.5 cm2 = 1568 cm2



2)  

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

 22 cm
              23cm                                   58cm

 

Answer: 638 cm2


SOLUTION 1 :
22 cm 
               23 cm                                  58 cm

 


Step 1: AC = 23 cm + 58 cm


                 = 81 cm


Step 2: Area of ACD → 12 x 81 cm x 22 cm = 891 cm2


Step 3: Area of ABD  → 12 x 23 cm x 22 cm = 253 cm2


Step 4: Area of unshaded triangle BCD → 891 cm2 - 253 cm2 = 638 cm2



3)  

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

 12 cm
              33cm                                   52cm

 

Answer: 312 cm2


SOLUTION 1 :
12 cm 
               33 cm                                  52 cm

 


Step 1: AC = 33 cm + 52 cm


                 = 85 cm


Step 2: Area of ACD → 12 x 85 cm x 12 cm = 510 cm2


Step 3: Area of ABD  → 12 x 33 cm x 12 cm = 198 cm2


Step 4: Area of unshaded triangle BCD → 510 cm2 - 198 cm2 = 312 cm2



4)  

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

 12 cm
              25cm                                   65cm

 

Answer: 390 cm2


SOLUTION 1 :
12 cm 
               25 cm                                  65 cm

 


Step 1: AC = 25 cm + 65 cm


                 = 90 cm


Step 2: Area of ACD → 12 x 90 cm x 12 cm = 540 cm2


Step 3: Area of ABD  → 12 x 25 cm x 12 cm = 150 cm2


Step 4: Area of unshaded triangle BCD → 540 cm2 - 150 cm2 = 390 cm2



5)  

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

 47 cm
              27cm                                   98cm

 

Answer: 2303 cm2


SOLUTION 1 :
47 cm 
               27 cm                                  98 cm

 


Step 1: AC = 27 cm + 98 cm


                 = 125 cm


Step 2: Area of ACD → 12 x 125 cm x 47 cm = 2937.5 cm2


Step 3: Area of ABD → 12 x 27 cm x 47 cm = 634.5 cm2


Step 4: Area of unshaded triangle BCD → 2937.5 cm2 - 634.5 cm2 = 2303 cm2



6)  

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

 45 cm
              14cm                                   75cm

 

Answer: 1687.5 cm2


SOLUTION 1 :
45 cm 
               14 cm                                  75 cm

 


Step 1: AC = 14 cm + 75 cm


                 = 89 cm


Step 2: Area of ACD → 12 x 89 cm x 45 cm = 2002.5 cm2


Step 3: Area of ABD  → 12 x 14 cm x 45 cm = 315 cm2


Step 4: Area of unshaded triangle BCD → 2002.5 cm2 - 315 cm2 = 1687.5 cm2



7)  

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

 28 cm
              18cm                                   97cm

 

Answer: 1358 cm2


SOLUTION 1 :
28 cm 
               18 cm                                  97 cm

 


Step 1: AC = 18 cm + 97 cm


                 = 115 cm


Step 2: Area of ACD → 12 x 115 cm x 28 cm = 1610 cm2


Step 3: Area of ABD  → 12 x 18 cm x 28 cm = 252 cm2


Step 4: Area of unshaded triangle BCD → 1610 cm2 - 252 cm2 = 1358 cm2



8)  

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

 21 cm
              24cm                                   43cm

 

Answer: 451.5 cm2


SOLUTION 1 :
21 cm 
               24 cm                                  43 cm

 


Step 1: AC = 24 cm + 43 cm


                 = 67 cm


Step 2: Area of ACD → 12 x 67 cm x 21 cm = 703.5 cm2


Step 3: Area of ABD  → 12 x 24 cm x 21 cm = 252 cm2


Step 4: Area of unshaded triangle BCD → 703.5 cm2 - 252 cm2 = 451.5 cm2



9)  

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

 49 cm
              11cm                                   76cm

 

Answer: 1862 cm2


SOLUTION 1 :
49 cm 
               11 cm                                  76 cm

 


Step 1: AC = 11 cm + 76 cm


                 = 87 cm


Step 2: Area of ACD → 12 x 87 cm x 49 cm = 2131.5 cm2


Step 3: Area of ABD → 12 x 11 cm x 49 cm = 269.5 cm2


Step 4: Area of unshaded triangle BCD → 2131.5 cm2 - 269.5 cm2 = 1862 cm2



10)  

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

 18 cm
              34cm                                   51cm

 

Answer: 459 cm2


SOLUTION 1 :
18 cm 
               34 cm                                  51 cm

 


Step 1: AC = 34 cm + 51 cm


                 = 85 cm


Step 2: Area of ACD → 12 x 85 cm x 18 cm = 765 cm2


Step 3: Area of ABD  → 12 x 34 cm x 18 cm = 306 cm2


Step 4: Area of unshaded triangle BCD → 765 cm2 - 306 cm2 = 459 cm2