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

 33 cm
              33cm                                   91cm

 

cm2


Answer:_______________




2)  

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

 31 cm
              32cm                                   65cm

 

cm2


Answer:_______________




3)  

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

 15 cm
              11cm                                   46cm

 

cm2


Answer:_______________




4)  

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

 36 cm
              12cm                                   99cm

 

cm2


Answer:_______________




5)  

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

 42 cm
              19cm                                   94cm

 

cm2


Answer:_______________




6)  

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

 24 cm
              10cm                                   90cm

 

cm2


Answer:_______________




7)  

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

 21 cm
              10cm                                   49cm

 

cm2


Answer:_______________




8)  

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

 23 cm
              38cm                                   61cm

 

cm2


Answer:_______________




9)  

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

 12 cm
              16cm                                   98cm

 

cm2


Answer:_______________




10)  

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

 15 cm
              23cm                                   67cm

 

cm2


Answer:_______________




 

1)  

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

 33 cm
              33cm                                   91cm

 

Answer: 1501.5 cm2


SOLUTION 1 :
33 cm 
               33 cm                                  91 cm

 


Step 1: AC = 33 cm + 91 cm


                 = 124 cm


Step 2: Area of ACD → 12 x 124 cm x 33 cm = 2046 cm2


Step 3: Area of ABD → 12 x 33 cm x 33 cm = 544.5 cm2


Step 4: Area of unshaded triangle BCD → 2046 cm2 - 544.5 cm2 = 1501.5 cm2



2)  

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

 31 cm
              32cm                                   65cm

 

Answer: 1007.5 cm2


SOLUTION 1 :
31 cm 
               32 cm                                  65 cm

 


Step 1: AC = 32 cm + 65 cm


                 = 97 cm


Step 2: Area of ACD → 12 x 97 cm x 31 cm = 1503.5 cm2


Step 3: Area of ABD  → 12 x 32 cm x 31 cm = 496 cm2


Step 4: Area of unshaded triangle BCD → 1503.5 cm2 - 496 cm2 = 1007.5 cm2



3)  

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

 15 cm
              11cm                                   46cm

 

Answer: 345 cm2


SOLUTION 1 :
15 cm 
               11 cm                                  46 cm

 


Step 1: AC = 11 cm + 46 cm


                 = 57 cm


Step 2: Area of ACD → 12 x 57 cm x 15 cm = 427.5 cm2


Step 3: Area of ABD  → 12 x 11 cm x 15 cm = 82.5 cm2


Step 4: Area of unshaded triangle BCD → 427.5 cm2 - 82.5 cm2 = 345 cm2



4)  

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

 36 cm
              12cm                                   99cm

 

Answer: 1782 cm2


SOLUTION 1 :
36 cm 
               12 cm                                  99 cm

 


Step 1: AC = 12 cm + 99 cm


                 = 111 cm


Step 2: Area of ACD → 12 x 111 cm x 36 cm = 1998 cm2


Step 3: Area of ABD  → 12 x 12 cm x 36 cm = 216 cm2


Step 4: Area of unshaded triangle BCD → 1998 cm2 - 216 cm2 = 1782 cm2



5)  

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

 42 cm
              19cm                                   94cm

 

Answer: 1974 cm2


SOLUTION 1 :
42 cm 
               19 cm                                  94 cm

 


Step 1: AC = 19 cm + 94 cm


                 = 113 cm


Step 2: Area of ACD → 12 x 113 cm x 42 cm = 2373 cm2


Step 3: Area of ABD → 12 x 19 cm x 42 cm = 399 cm2


Step 4: Area of unshaded triangle BCD → 2373 cm2 - 399 cm2 = 1974 cm2



6)  

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

 24 cm
              10cm                                   90cm

 

Answer: 1080 cm2


SOLUTION 1 :
24 cm 
               10 cm                                  90 cm

 


Step 1: AC = 10 cm + 90 cm


                 = 100 cm


Step 2: Area of ACD → 12 x 100 cm x 24 cm = 1200 cm2


Step 3: Area of ABD  → 12 x 10 cm x 24 cm = 120 cm2


Step 4: Area of unshaded triangle BCD → 1200 cm2 - 120 cm2 = 1080 cm2



7)  

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

 21 cm
              10cm                                   49cm

 

Answer: 514.5 cm2


SOLUTION 1 :
21 cm 
               10 cm                                  49 cm

 


Step 1: AC = 10 cm + 49 cm


                 = 59 cm


Step 2: Area of ACD → 12 x 59 cm x 21 cm = 619.5 cm2


Step 3: Area of ABD  → 12 x 10 cm x 21 cm = 105 cm2


Step 4: Area of unshaded triangle BCD → 619.5 cm2 - 105 cm2 = 514.5 cm2



8)  

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

 23 cm
              38cm                                   61cm

 

Answer: 701.5 cm2


SOLUTION 1 :
23 cm 
               38 cm                                  61 cm

 


Step 1: AC = 38 cm + 61 cm


                 = 99 cm


Step 2: Area of ACD → 12 x 99 cm x 23 cm = 1138.5 cm2


Step 3: Area of ABD  → 12 x 38 cm x 23 cm = 437 cm2


Step 4: Area of unshaded triangle BCD → 1138.5 cm2 - 437 cm2 = 701.5 cm2



9)  

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

 12 cm
              16cm                                   98cm

 

Answer: 588 cm2


SOLUTION 1 :
12 cm 
               16 cm                                  98 cm

 


Step 1: AC = 16 cm + 98 cm


                 = 114 cm


Step 2: Area of ACD → 12 x 114 cm x 12 cm = 684 cm2


Step 3: Area of ABD → 12 x 16 cm x 12 cm = 96 cm2


Step 4: Area of unshaded triangle BCD → 684 cm2 - 96 cm2 = 588 cm2



10)  

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

 15 cm
              23cm                                   67cm

 

Answer: 502.5 cm2


SOLUTION 1 :
15 cm 
               23 cm                                  67 cm

 


Step 1: AC = 23 cm + 67 cm


                 = 90 cm


Step 2: Area of ACD → 12 x 90 cm x 15 cm = 675 cm2


Step 3: Area of ABD  → 12 x 23 cm x 15 cm = 172.5 cm2


Step 4: Area of unshaded triangle BCD → 675 cm2 - 172.5 cm2 = 502.5 cm2