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

 10 cm
              16cm                                   75cm

 

cm2


Answer:_______________




2)  

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

 14 cm
              17cm                                   90cm

 

cm2


Answer:_______________




3)  

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

 33 cm
              34cm                                   96cm

 

cm2


Answer:_______________




4)  

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

 11 cm
              20cm                                   66cm

 

cm2


Answer:_______________




5)  

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

 23 cm
              21cm                                   61cm

 

cm2


Answer:_______________




6)  

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

 10 cm
              33cm                                   79cm

 

cm2


Answer:_______________




7)  

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

 13 cm
              30cm                                   61cm

 

cm2


Answer:_______________




8)  

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

 15 cm
              30cm                                   92cm

 

cm2


Answer:_______________




9)  

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

 13 cm
              13cm                                   76cm

 

cm2


Answer:_______________




10)  

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

 10 cm
              34cm                                   87cm

 

cm2


Answer:_______________




 

1)  

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

 10 cm
              16cm                                   75cm

 

Answer: 375 cm2


SOLUTION 1 :
10 cm 
               16 cm                                  75 cm

 


Step 1: AC = 16 cm + 75 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 10 cm = 455 cm2


Step 3: Area of ABD  → 12 x 16 cm x 10 cm = 80 cm2


Step 4: Area of unshaded triangle BCD → 455 cm2 - 80 cm2 = 375 cm2



2)  

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

 14 cm
              17cm                                   90cm

 

Answer: 630 cm2


SOLUTION 1 :
14 cm 
               17 cm                                  90 cm

 


Step 1: AC = 17 cm + 90 cm


                 = 107 cm


Step 2: Area of ACD → 12 x 107 cm x 14 cm = 749 cm2


Step 3: Area of ABD → 12 x 17 cm x 14 cm = 119 cm2


Step 4: Area of unshaded triangle BCD → 749 cm2 - 119 cm2 = 630 cm2



3)  

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

 33 cm
              34cm                                   96cm

 

Answer: 1584 cm2


SOLUTION 1 :
33 cm 
               34 cm                                  96 cm

 


Step 1: AC = 34 cm + 96 cm


                 = 130 cm


Step 2: Area of ACD → 12 x 130 cm x 33 cm = 2145 cm2


Step 3: Area of ABD  → 12 x 34 cm x 33 cm = 561 cm2


Step 4: Area of unshaded triangle BCD → 2145 cm2 - 561 cm2 = 1584 cm2



4)  

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

 11 cm
              20cm                                   66cm

 

Answer: 363 cm2


SOLUTION 1 :
11 cm 
               20 cm                                  66 cm

 


Step 1: AC = 20 cm + 66 cm


                 = 86 cm


Step 2: Area of ACD → 12 x 86 cm x 11 cm = 473 cm2


Step 3: Area of ABD  → 12 x 20 cm x 11 cm = 110 cm2


Step 4: Area of unshaded triangle BCD → 473 cm2 - 110 cm2 = 363 cm2



5)  

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

 23 cm
              21cm                                   61cm

 

Answer: 701.5 cm2


SOLUTION 1 :
23 cm 
               21 cm                                  61 cm

 


Step 1: AC = 21 cm + 61 cm


                 = 82 cm


Step 2: Area of ACD → 12 x 82 cm x 23 cm = 943 cm2


Step 3: Area of ABD  → 12 x 21 cm x 23 cm = 241.5 cm2


Step 4: Area of unshaded triangle BCD → 943 cm2 - 241.5 cm2 = 701.5 cm2



6)  

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

 10 cm
              33cm                                   79cm

 

Answer: 395 cm2


SOLUTION 1 :
10 cm 
               33 cm                                  79 cm

 


Step 1: AC = 33 cm + 79 cm


                 = 112 cm


Step 2: Area of ACD → 12 x 112 cm x 10 cm = 560 cm2


Step 3: Area of ABD → 12 x 33 cm x 10 cm = 165 cm2


Step 4: Area of unshaded triangle BCD → 560 cm2 - 165 cm2 = 395 cm2



7)  

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

 13 cm
              30cm                                   61cm

 

Answer: 396.5 cm2


SOLUTION 1 :
13 cm 
               30 cm                                  61 cm

 


Step 1: AC = 30 cm + 61 cm


                 = 91 cm


Step 2: Area of ACD → 12 x 91 cm x 13 cm = 591.5 cm2


Step 3: Area of ABD  → 12 x 30 cm x 13 cm = 195 cm2


Step 4: Area of unshaded triangle BCD → 591.5 cm2 - 195 cm2 = 396.5 cm2



8)  

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

 15 cm
              30cm                                   92cm

 

Answer: 690 cm2


SOLUTION 1 :
15 cm 
               30 cm                                  92 cm

 


Step 1: AC = 30 cm + 92 cm


                 = 122 cm


Step 2: Area of ACD → 12 x 122 cm x 15 cm = 915 cm2


Step 3: Area of ABD  → 12 x 30 cm x 15 cm = 225 cm2


Step 4: Area of unshaded triangle BCD → 915 cm2 - 225 cm2 = 690 cm2



9)  

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

 13 cm
              13cm                                   76cm

 

Answer: 494 cm2


SOLUTION 1 :
13 cm 
               13 cm                                  76 cm

 


Step 1: AC = 13 cm + 76 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 13 cm x 13 cm = 84.5 cm2


Step 4: Area of unshaded triangle BCD → 578.5 cm2 - 84.5 cm2 = 494 cm2



10)  

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

 10 cm
              34cm                                   87cm

 

Answer: 435 cm2


SOLUTION 1 :
10 cm 
               34 cm                                  87 cm

 


Step 1: AC = 34 cm + 87 cm


                 = 121 cm


Step 2: Area of ACD → 12 x 121 cm x 10 cm = 605 cm2


Step 3: Area of ABD → 12 x 34 cm x 10 cm = 170 cm2


Step 4: Area of unshaded triangle BCD → 605 cm2 - 170 cm2 = 435 cm2