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
              41cm                                   98cm

 

cm2


Answer:_______________




2)  

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

 24 cm
              11cm                                   79cm

 

cm2


Answer:_______________




3)  

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

 21 cm
              12cm                                   84cm

 

cm2


Answer:_______________




4)  

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

 32 cm
              14cm                                   67cm

 

cm2


Answer:_______________




5)  

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

 10 cm
              27cm                                   91cm

 

cm2


Answer:_______________




6)  

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

 15 cm
              18cm                                   47cm

 

cm2


Answer:_______________




7)  

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

 26 cm
              25cm                                   92cm

 

cm2


Answer:_______________




8)  

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

 34 cm
              35cm                                   72cm

 

cm2


Answer:_______________




9)  

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

 14 cm
              22cm                                   67cm

 

cm2


Answer:_______________




10)  

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

 14 cm
              10cm                                   65cm

 

cm2


Answer:_______________




 

1)  

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

 49 cm
              41cm                                   98cm

 

Answer: 2401 cm2


SOLUTION 1 :
49 cm 
               41 cm                                  98 cm

 


Step 1: AC = 41 cm + 98 cm


                 = 139 cm


Step 2: Area of ACD → 12 x 139 cm x 49 cm = 3405.5 cm2


Step 3: Area of ABD → 12 x 41 cm x 49 cm = 1004.5 cm2


Step 4: Area of unshaded triangle BCD → 3405.5 cm2 - 1004.5 cm2 = 2401 cm2



2)  

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

 24 cm
              11cm                                   79cm

 

Answer: 948 cm2


SOLUTION 1 :
24 cm 
               11 cm                                  79 cm

 


Step 1: AC = 11 cm + 79 cm


                 = 90 cm


Step 2: Area of ACD → 12 x 90 cm x 24 cm = 1080 cm2


Step 3: Area of ABD  → 12 x 11 cm x 24 cm = 132 cm2


Step 4: Area of unshaded triangle BCD → 1080 cm2 - 132 cm2 = 948 cm2



3)  

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

 21 cm
              12cm                                   84cm

 

Answer: 882 cm2


SOLUTION 1 :
21 cm 
               12 cm                                  84 cm

 


Step 1: AC = 12 cm + 84 cm


                 = 96 cm


Step 2: Area of ACD → 12 x 96 cm x 21 cm = 1008 cm2


Step 3: Area of ABD  → 12 x 12 cm x 21 cm = 126 cm2


Step 4: Area of unshaded triangle BCD → 1008 cm2 - 126 cm2 = 882 cm2



4)  

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

 32 cm
              14cm                                   67cm

 

Answer: 1072 cm2


SOLUTION 1 :
32 cm 
               14 cm                                  67 cm

 


Step 1: AC = 14 cm + 67 cm


                 = 81 cm


Step 2: Area of ACD → 12 x 81 cm x 32 cm = 1296 cm2


Step 3: Area of ABD  → 12 x 14 cm x 32 cm = 224 cm2


Step 4: Area of unshaded triangle BCD → 1296 cm2 - 224 cm2 = 1072 cm2



5)  

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

 10 cm
              27cm                                   91cm

 

Answer: 455 cm2


SOLUTION 1 :
10 cm 
               27 cm                                  91 cm

 


Step 1: AC = 27 cm + 91 cm


                 = 118 cm


Step 2: Area of ACD → 12 x 118 cm x 10 cm = 590 cm2


Step 3: Area of ABD → 12 x 27 cm x 10 cm = 135 cm2


Step 4: Area of unshaded triangle BCD → 590 cm2 - 135 cm2 = 455 cm2



6)  

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

 15 cm
              18cm                                   47cm

 

Answer: 352.5 cm2


SOLUTION 1 :
15 cm 
               18 cm                                  47 cm

 


Step 1: AC = 18 cm + 47 cm


                 = 65 cm


Step 2: Area of ACD → 12 x 65 cm x 15 cm = 487.5 cm2


Step 3: Area of ABD  → 12 x 18 cm x 15 cm = 135 cm2


Step 4: Area of unshaded triangle BCD → 487.5 cm2 - 135 cm2 = 352.5 cm2



7)  

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

 26 cm
              25cm                                   92cm

 

Answer: 1196 cm2


SOLUTION 1 :
26 cm 
               25 cm                                  92 cm

 


Step 1: AC = 25 cm + 92 cm


                 = 117 cm


Step 2: Area of ACD → 12 x 117 cm x 26 cm = 1521 cm2


Step 3: Area of ABD  → 12 x 25 cm x 26 cm = 325 cm2


Step 4: Area of unshaded triangle BCD → 1521 cm2 - 325 cm2 = 1196 cm2



8)  

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

 34 cm
              35cm                                   72cm

 

Answer: 1224 cm2


SOLUTION 1 :
34 cm 
               35 cm                                  72 cm

 


Step 1: AC = 35 cm + 72 cm


                 = 107 cm


Step 2: Area of ACD → 12 x 107 cm x 34 cm = 1819 cm2


Step 3: Area of ABD  → 12 x 35 cm x 34 cm = 595 cm2


Step 4: Area of unshaded triangle BCD → 1819 cm2 - 595 cm2 = 1224 cm2



9)  

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

 14 cm
              22cm                                   67cm

 

Answer: 469 cm2


SOLUTION 1 :
14 cm 
               22 cm                                  67 cm

 


Step 1: AC = 22 cm + 67 cm


                 = 89 cm


Step 2: Area of ACD → 12 x 89 cm x 14 cm = 623 cm2


Step 3: Area of ABD → 12 x 22 cm x 14 cm = 154 cm2


Step 4: Area of unshaded triangle BCD → 623 cm2 - 154 cm2 = 469 cm2



10)  

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

 14 cm
              10cm                                   65cm

 

Answer: 455 cm2


SOLUTION 1 :
14 cm 
               10 cm                                  65 cm

 


Step 1: AC = 10 cm + 65 cm


                 = 75 cm


Step 2: Area of ACD → 12 x 75 cm x 14 cm = 525 cm2


Step 3: Area of ABD  → 12 x 10 cm x 14 cm = 70 cm2


Step 4: Area of unshaded triangle BCD → 525 cm2 - 70 cm2 = 455 cm2