Scroll:Measurement >> Area of Triangle >> ps (1319)


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 below is made up of 8 squares of side 11 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




2)  

The figure below is made up of 4 squares of side 11 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




3)  

 The figure below is made up of 8 squares of side 8 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




4)  

The figure below is made up of 4 squares of side 4 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




5)  

 The figure below is made up of 8 squares of side 7 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




6)  

The figure below is made up of 4 squares of side 12 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




7)  

 The figure below is made up of 8 squares of side 6 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




8)  

The figure below is made up of 4 squares of side 7 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




9)  

 The figure below is made up of 8 squares of side 2 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




10)  

The figure below is made up of 4 squares of side 3 cm each. 

Find the area of the shaded parts.

cm2


Answer:_______________




 

1)  

 The figure below is made up of 8 squares of side 11 cm each. 

Find the area of the shaded parts.

Answer: 242 cm2


SOLUTION 1 :

 

                                  11 cm  

11 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 1: Length of FG → 11 cm + 11 cm = 22 cm

Step 2: Area of triangle EFG →  12 x 11 cm x 22 cm = 121 cm2

Step 3: Area of triangle AFG → 12 x FG x AH

                                                = 12 x 22 cm x 11 cm

                                                 = 121 cm2

 Step 4: Area of shaded parts → 121 cm2 + 121 cm2

                                                 = 242 cm2



2)  

The figure below is made up of 4 squares of side 11 cm each. 

Find the area of the shaded parts.

Answer: 121 cm2


SOLUTION 1 :

 

                                                     11 cm  

11 cm

 

 

 

 

 

Step 1: Area of triangle EFG → 12 x 11 cm x 11 cm = 60.5 cm2

Step 2: Area of triangle AFG → 12 x FG  x AH

                                                  = 12 x 11 cm  x 11 cm

                                                   = 60.5 cm2

 Step 3: Area of shaded parts → 60.5 cm2 + 60.5 cm2

                                                    = 121 cm2



3)  

 The figure below is made up of 8 squares of side 8 cm each. 

Find the area of the shaded parts.

Answer: 128 cm2


SOLUTION 1 :

 

                                  8 cm  

8 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 1: Length of FG → 8 cm + 8 cm = 16 cm

Step 2: Area of triangle EFG →  12 x 8 cm x 16 cm = 64 cm2

Step 3: Area of triangle AFG → 12 x FG x AH

                                                = 12 x 16 cm x 8 cm

                                                 = 64 cm2

 Step 4: Area of shaded parts → 64 cm2 + 64 cm2

                                                 = 128 cm2



4)  

The figure below is made up of 4 squares of side 4 cm each. 

Find the area of the shaded parts.

Answer: 16 cm2


SOLUTION 1 :

 

                                                     4 cm  

4 cm

 

 

 

 

 

Step 1: Area of triangle EFG → 12 x 4 cm x 4 cm = 8 cm2

Step 2: Area of triangle AFG → 12 x FG  x AH

                                                  = 12 x 4 cm  x 4 cm

                                                   = 8 cm2

 Step 3: Area of shaded parts → 8 cm2 + 8 cm2

                                                    = 16 cm2



5)  

 The figure below is made up of 8 squares of side 7 cm each. 

Find the area of the shaded parts.

Answer: 98 cm2


SOLUTION 1 :

 

                                  7 cm  

7 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 1: Length of FG → 7 cm + 7 cm = 14 cm

Step 2: Area of triangle EFG →  12 x 7 cm x 14 cm = 49 cm2

Step 3: Area of triangle AFG → 12 x FG x AH

                                                = 12 x 14 cm x 7 cm

                                                 = 49 cm2

 Step 4: Area of shaded parts → 49 cm2 + 49 cm2

                                                 = 98 cm2



6)  

The figure below is made up of 4 squares of side 12 cm each. 

Find the area of the shaded parts.

Answer: 144 cm2


SOLUTION 1 :

 

                                                     12 cm  

12 cm

 

 

 

 

 

Step 1: Area of triangle EFG → 12 x 12 cm x 12 cm = 72 cm2

Step 2: Area of triangle AFG → 12 x FG  x AH

                                                  = 12 x 12 cm  x 12 cm

                                                   = 72 cm2

 Step 3: Area of shaded parts → 72 cm2 + 72 cm2

                                                    = 144 cm2



7)  

 The figure below is made up of 8 squares of side 6 cm each. 

Find the area of the shaded parts.

Answer: 72 cm2


SOLUTION 1 :

 

                                  6 cm  

6 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 1: Length of FG → 6 cm + 6 cm = 12 cm

Step 2: Area of triangle EFG →  12 x 6 cm x 12 cm = 36 cm2

Step 3: Area of triangle AFG → 12 x FG x AH

                                                = 12 x 12 cm x 6 cm

                                                 = 36 cm2

 Step 4: Area of shaded parts → 36 cm2 + 36 cm2

                                                 = 72 cm2



8)  

The figure below is made up of 4 squares of side 7 cm each. 

Find the area of the shaded parts.

Answer: 49 cm2


SOLUTION 1 :

 

                                                     7 cm  

7 cm

 

 

 

 

 

Step 1: Area of triangle EFG → 12 x 7 cm x 7 cm = 24.5 cm2

Step 2: Area of triangle AFG → 12 x FG  x AH

                                                  = 12 x 7 cm  x 7 cm

                                                   = 24.5 cm2

 Step 3: Area of shaded parts → 24.5 cm2 + 24.5 cm2

                                                    = 49 cm2



9)  

 The figure below is made up of 8 squares of side 2 cm each. 

Find the area of the shaded parts.

Answer: 8 cm2


SOLUTION 1 :

 

                                  2 cm  

2 cm

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Step 1: Length of FG → 2 cm + 2 cm = 4 cm

Step 2: Area of triangle EFG →  12 x 2 cm x 4 cm = 4 cm2

Step 3: Area of triangle AFG → 12 x FG x AH

                                                = 12 x 4 cm x 2 cm

                                                 = 4 cm2

 Step 4: Area of shaded parts → 4 cm2 + 4 cm2

                                                 = 8 cm2



10)  

The figure below is made up of 4 squares of side 3 cm each. 

Find the area of the shaded parts.

Answer: 9 cm2


SOLUTION 1 :

 

                                                     3 cm  

3 cm

 

 

 

 

 

Step 1: Area of triangle EFG → 12 x 3 cm x 3 cm = 4.5 cm2

Step 2: Area of triangle AFG → 12 x FG  x AH

                                                  = 12 x 3 cm  x 3 cm

                                                   = 4.5 cm2

 Step 3: Area of shaded parts → 4.5 cm2 + 4.5 cm2

                                                    = 9 cm2