Scroll:Measurement >> Area of Triangle >> saq (1526)

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)  

Find the shaded area of the figure.

42 cm
                  24 cm         12 cm

cm2


Answer:_______________




2)  

Find the shaded area of the figure.

43 cm
                  23 cm         14 cm

cm2


Answer:_______________




3)  

Find the shaded area of the figure.

42 cm
                  23 cm         13 cm

cm2


Answer:_______________




4)  

Find the shaded area of the figure.

44 cm
                  23 cm         15 cm

cm2


Answer:_______________




5)  

Find the shaded area of the figure.

42 cm
                  22 cm         14 cm

cm2


Answer:_______________




6)  

Find the shaded area of the figure.

41 cm
                  21 cm         14 cm

cm2


Answer:_______________




7)  

Find the shaded area of the figure.

42 cm
                  25 cm         11 cm

cm2


Answer:_______________




8)  

Find the shaded area of the figure.

40 cm
                  23 cm         11 cm

cm2


Answer:_______________




9)  

Find the shaded area of the figure.

41 cm
                  22 cm         13 cm

cm2


Answer:_______________




10)  

Find the shaded area of the figure.

41 cm
                  25 cm         10 cm

cm2


Answer:_______________




 

1)  

Find the shaded area of the figure.

42 cm
                  24 cm         12 cm

Answer: 1008 cm2


SOLUTION 1 :
42 cm
               24 cm             12 cm

Step 1: Length of DC → 24 cm + 12 cm = 36 cm

Step 2: Area of rectangle ABCD → 42 cm x 36 cm = 1512 cm2

Step 3: Area of triangle ADE → 12 x 24 cm x 42 cm = 504 cm2

Step 4: Shaded area of the figure ABCE → 1512 cm2 - 504 cm2 = 1008 cm2



2)  

Find the shaded area of the figure.

43 cm
                  23 cm         14 cm

Answer: 1096.5 cm2


SOLUTION 1 :
43 cm
               23 cm             14 cm

Step 1: Length of DC → 23 cm + 14 cm = 37 cm

Step 2: Area of rectangle ABCD → 43 cm x 37 cm = 1591 cm2

Step 3: Area of triangle ADE → 12 x 23 cm x 43 cm = 494.5 cm2

Step 4: Shaded area of the figure ABCE → 1591 cm2 - 494.5 cm2 = 1096.5 cm2



3)  

Find the shaded area of the figure.

42 cm
                  23 cm         13 cm

Answer: 1029 cm2


SOLUTION 1 :
42 cm
               23 cm             13 cm

Step 1: Length of DC → 23 cm + 13 cm = 36 cm

Step 2: Area of rectangle ABCD → 42 cm x 36 cm = 1512 cm2

Step 3: Area of triangle ADE → 12 x 23 cm x 42 cm = 483 cm2

Step 4: Shaded area of the figure ABCE → 1512 cm2 - 483 cm2 = 1029 cm2



4)  

Find the shaded area of the figure.

44 cm
                  23 cm         15 cm

Answer: 1166 cm2


SOLUTION 1 :
44 cm
               23 cm             15 cm

Step 1: Length of DC → 23 cm + 15 cm = 38 cm

Step 2: Area of rectangle ABCD → 44 cm x 38 cm = 1672 cm2

Step 3: Area of triangle ADE → 12 x 23 cm x 44 cm = 506 cm2

Step 4: Shaded area of the figure ABCE → 1672 cm2 - 506 cm2 = 1166 cm2



5)  

Find the shaded area of the figure.

42 cm
                  22 cm         14 cm

Answer: 1050 cm2


SOLUTION 1 :
42 cm
               22 cm             14 cm

Step 1: Length of DC → 22 cm + 14 cm = 36 cm

Step 2: Area of rectangle ABCD → 42 cm x 36 cm = 1512 cm2

Step 3: Area of triangle ADE → 12 x 22 cm x 42 cm = 462 cm2

Step 4: Shaded area of the figure ABCE → 1512 cm2 - 462 cm2 = 1050 cm2



6)  

Find the shaded area of the figure.

41 cm
                  21 cm         14 cm

Answer: 1004.5 cm2


SOLUTION 1 :
41 cm
               21 cm             14 cm

Step 1: Length of DC → 21 cm + 14 cm = 35 cm

Step 2: Area of rectangle ABCD → 41 cm x 35 cm = 1435 cm2

Step 3: Area of triangle ADE → 12 x 21 cm x 41 cm = 430.5 cm2

Step 4: Shaded area of the figure ABCE → 1435 cm2 - 430.5 cm2 = 1004.5 cm2



7)  

Find the shaded area of the figure.

42 cm
                  25 cm         11 cm

Answer: 987 cm2


SOLUTION 1 :
42 cm
               25 cm             11 cm

Step 1: Length of DC → 25 cm + 11 cm = 36 cm

Step 2: Area of rectangle ABCD → 42 cm x 36 cm = 1512 cm2

Step 3: Area of triangle ADE → 12 x 25 cm x 42 cm = 525 cm2

Step 4: Shaded area of the figure ABCE → 1512 cm2 - 525 cm2 = 987 cm2



8)  

Find the shaded area of the figure.

40 cm
                  23 cm         11 cm

Answer: 900 cm2


SOLUTION 1 :
40 cm
               23 cm             11 cm

Step 1: Length of DC → 23 cm + 11 cm = 34 cm

Step 2: Area of rectangle ABCD → 40 cm x 34 cm = 1360 cm2

Step 3: Area of triangle ADE → 12 x 23 cm x 40 cm = 460 cm2

Step 4: Shaded area of the figure ABCE → 1360 cm2 - 460 cm2 = 900 cm2



9)  

Find the shaded area of the figure.

41 cm
                  22 cm         13 cm

Answer: 984 cm2


SOLUTION 1 :
41 cm
               22 cm             13 cm

Step 1: Length of DC → 22 cm + 13 cm = 35 cm

Step 2: Area of rectangle ABCD → 41 cm x 35 cm = 1435 cm2

Step 3: Area of triangle ADE → 12 x 22 cm x 41 cm = 451 cm2

Step 4: Shaded area of the figure ABCE → 1435 cm2 - 451 cm2 = 984 cm2



10)  

Find the shaded area of the figure.

41 cm
                  25 cm         10 cm

Answer: 922.5 cm2


SOLUTION 1 :
41 cm
               25 cm             10 cm

Step 1: Length of DC → 25 cm + 10 cm = 35 cm

Step 2: Area of rectangle ABCD → 41 cm x 35 cm = 1435 cm2

Step 3: Area of triangle ADE → 12 x 25 cm x 41 cm = 512.5 cm2

Step 4: Shaded area of the figure ABCE → 1435 cm2 - 512.5 cm2 = 922.5 cm2