Scroll:Measurement >> Area >> saq (275)


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)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




2)  

 
What is the area of the shaded diagram
Answer: ___ cm²


Answer:_______________




3)  

 
What is the area of the shaded figure
Answer: ____ cm²


Answer:_______________




4)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




5)  

 

What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




6)  

 
What is the area of the shaded figure
Answer: ___ cm²

___cm2


Answer:_______________




7)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




8)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




9)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




10)  

 
What is the area of the shaded figure
Answer: ___ cm²


Answer:_______________




 

1)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 11.5


SOLUTION 1 :

Step 1: Area of one small square: 1 x 1 = 1 cm2

Step 2: Number of 1 cm2 square =  5

Step 3: Number of half shaded 1 cm2 square = 2

Step 4: Area of half shaded square: 12 x 1 x 1  = 0.5 cm2

Step 5: Area of right angle triangle on the left: 12 x 3 x 3 = 4.5 cm2

Step 6: Area of right angle triangle on the right: 12 x 1 x 2 = 1 cm2

Step 7: Area of shaded figure: 5 cm2 + (2 x 0.5 cm2) + 4.5 cm2 + 1 cm2 = 11. 5 cm2

The area of the shaded figure is 11.5 cm2.



2)  

 
What is the area of the shaded diagram
Answer: ___ cm²

Answer: 11.5


SOLUTION 1 :

Step 1: Area of one small square: 1 x 1 = 1 cm2

Step 2: Number of 1 cm2  =  10

Step 3: Number of half shaded 1 cm2 square = 3

Step 4: Area of half shaded square: 12 x 1 x 1  = 0.5 cm2

Step 5: Area of shaded figure: 10 cm2 + (3 x 0.5 cm2) = 11.5 cm2

The area of the shaded figure is 11.5 cm2.



3)  

 
What is the area of the shaded figure
Answer: ____ cm²

Answer: 19


SOLUTION 1 :

Step 1: Area of one small square: 1 x 1 = 1 cm2

Step 2: Number of 1 cm2  = 18

Step 3: Number of half shaded 1 cm2 square = 2

Step 4: Area of half shaded square: 12 x 1 x 1  = 0.5 cm2

Step 5: Area of shaded figure: 18 cm2 + (2 x 0.5 cm2) = 19 cm2

The area of the shaded figure is 19 cm2.



4)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 25


SOLUTION 1 :

Step 1: Area of the whole grid: 7 cm x 6 cm = 42 cm2

Step 2: Number of unshaded half 1 cm2 squares = 10

Step 3: Number of unshaded squares = 12

Step 4: Area of figure: 42 cm2 - 12 cm2 - (12 x 10) cm2 = 25 cm2

The area of the shaded figure is 25 cm2.



5)  

 

What is the area of the shaded figure
Answer: ___ cm²

Answer: 11


SOLUTION 1 :

Step 1: Area of one small square: 1 x 1 = 1 cm2

Step 2: Number of 1 cm2  =  10

Step 3: Number of half shaded 1 cm2 square = 2

Step 4: Area of half shaded square: 12 x 1 x 1  = 0.5 cm2

Step 5: Area of shaded figure: 10 cm2 + (2 x 0.5 cm2) = 11 cm2

The area of the shaded figure is 11 cm2.



6)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 15cm2


SOLUTION 1 :

Step 1: Area of square using the shaded fugure base = 5 cm2 x 4 cm2 = 20cm

Step 2: Area of unshaded right angle triangle: 12 x 2 x 1 = 1 cm2

Step 3: Number of unshaded right angle triangle: 5

Step 4: Area of shaded figure: 20 cm2 - (5 x 1) cm2 =  15 cm2

The area of the shaded figure is 15 cm2.



7)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 12


SOLUTION 1 :

Step 1: Area of rectangle around the figure: 5 cm2 x 4 cm2 = 20 cm2

Step 2: Number of unshaded 1cm2 square in the rectangle = 4

Step 3: Number of unshaded triangles in the rectangle = 8

Step 4: Area of unshaded triangle: 12 x 1 x 1 = 0.5 cm2

Step 5: Area of figure = 20 cm2 - 4 cm2 - (8 x 0.5) cm2 = 12 cm2

The area of the shaded figure is 12 cm2.



8)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 14


SOLUTION 1 :

Step 1: Area of rectangle around the figure: 4 cm2 x 5 cm2 = 20 cm2

Step 2: Number of unshaded triangles in the rectangle = 4

Step 3: Number of unshaded squares in the rectangle = 4

Step 4: Area of triangle: 12 x 1 x 1 = 0.5 cm2

Step 5: Area of shaded figure: 20 cm2 - (4 x 0.5) cm2 - 4 cm2 = 14 cm2

The area of the shaded figure is 14 cm2.



9)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 10


SOLUTION 1 :

Step 1: Area of one small square: 1 x 1 = 1 cm2

Step 2: Number of 1 cm2  =  4

Step 3: Area of right angle triangle on the left: 12 x 3 x 1 = 1.5 cm2

Step 4: Area of right angle triangle on the right: 12 x 3 x 3 = 4.5 cm2

Step 5: Area of shaded figure: 4 cm2 + 1.5 cm2 + 4.5 cm2 = 10 cm2

The area of the shaded figure is 10 cm2.



10)  

 
What is the area of the shaded figure
Answer: ___ cm²

Answer: 7


SOLUTION 1 :

Step 1: Area of rectangle using the base of the figure: 3 cm2 x 4 cm2 = 12 cm2

Step 2: Area of unshaded triangle on the left: 12 x 3 x 3 = 4.5 cm2

Step 3: Area of small unshaded triangle: 12 x 1 x 1 = 0.5 cm2

Step 4: Area of shaded figure: 12 cm2 - 4.5 cm2 - 0.5 cm2 = 7 cm2

The area of the shaded figure is 7 cm2.