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.

43 cm
                  22 cm         15 cm

cm2


Answer:_______________




2)  

Find the shaded area of the figure.

40 cm
                  22 cm         12 cm

cm2


Answer:_______________




3)  

Find the shaded area of the figure.

46 cm
                  25 cm         15 cm

cm2


Answer:_______________




4)  

Find the shaded area of the figure.

44 cm
                  24 cm         14 cm

cm2


Answer:_______________




5)  

Find the shaded area of the figure.

40 cm
                  20 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.

39 cm
                  23 cm         10 cm

cm2


Answer:_______________




8)  

Find the shaded area of the figure.

40 cm
                  24 cm         10 cm

cm2


Answer:_______________




9)  

Find the shaded area of the figure.

43 cm
                  25 cm         12 cm

cm2


Answer:_______________




10)  

Find the shaded area of the figure.

36 cm
                  20 cm         10 cm

cm2


Answer:_______________




 

1)  

Find the shaded area of the figure.

43 cm
                  22 cm         15 cm

Answer: 1118 cm2


SOLUTION 1 :
43 cm
               22 cm             15 cm

Step 1: Length of DC → 22 cm + 15 cm = 37 cm

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

Step 3: Area of triangle ADE → 12 x 22 cm x 43 cm = 473 cm2

Step 4: Shaded area of the figure ABCE → 1591 cm2 - 473 cm2 = 1118 cm2



2)  

Find the shaded area of the figure.

40 cm
                  22 cm         12 cm

Answer: 920 cm2


SOLUTION 1 :
40 cm
               22 cm             12 cm

Step 1: Length of DC → 22 cm + 12 cm = 34 cm

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

Step 3: Area of triangle ADE → 12 x 22 cm x 40 cm = 440 cm2

Step 4: Shaded area of the figure ABCE → 1360 cm2 - 440 cm2 = 920 cm2



3)  

Find the shaded area of the figure.

46 cm
                  25 cm         15 cm

Answer: 1265 cm2


SOLUTION 1 :
46 cm
               25 cm             15 cm

Step 1: Length of DC → 25 cm + 15 cm = 40 cm

Step 2: Area of rectangle ABCD → 46 cm x 40 cm = 1840 cm2

Step 3: Area of triangle ADE → 12 x 25 cm x 46 cm = 575 cm2

Step 4: Shaded area of the figure ABCE → 1840 cm2 - 575 cm2 = 1265 cm2



4)  

Find the shaded area of the figure.

44 cm
                  24 cm         14 cm

Answer: 1144 cm2


SOLUTION 1 :
44 cm
               24 cm             14 cm

Step 1: Length of DC → 24 cm + 14 cm = 38 cm

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

Step 3: Area of triangle ADE → 12 x 24 cm x 44 cm = 528 cm2

Step 4: Shaded area of the figure ABCE → 1672 cm2 - 528 cm2 = 1144 cm2



5)  

Find the shaded area of the figure.

40 cm
                  20 cm         14 cm

Answer: 960 cm2


SOLUTION 1 :
40 cm
               20 cm             14 cm

Step 1: Length of DC → 20 cm + 14 cm = 34 cm

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

Step 3: Area of triangle ADE → 12 x 20 cm x 40 cm = 400 cm2

Step 4: Shaded area of the figure ABCE → 1360 cm2 - 400 cm2 = 960 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.

39 cm
                  23 cm         10 cm

Answer: 838.5 cm2


SOLUTION 1 :
39 cm
               23 cm             10 cm

Step 1: Length of DC → 23 cm + 10 cm = 33 cm

Step 2: Area of rectangle ABCD → 39 cm x 33 cm = 1287 cm2

Step 3: Area of triangle ADE → 12 x 23 cm x 39 cm = 448.5 cm2

Step 4: Shaded area of the figure ABCE → 1287 cm2 - 448.5 cm2 = 838.5 cm2



8)  

Find the shaded area of the figure.

40 cm
                  24 cm         10 cm

Answer: 880 cm2


SOLUTION 1 :
40 cm
               24 cm             10 cm

Step 1: Length of DC → 24 cm + 10 cm = 34 cm

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

Step 3: Area of triangle ADE → 12 x 24 cm x 40 cm = 480 cm2

Step 4: Shaded area of the figure ABCE → 1360 cm2 - 480 cm2 = 880 cm2



9)  

Find the shaded area of the figure.

43 cm
                  25 cm         12 cm

Answer: 1053.5 cm2


SOLUTION 1 :
43 cm
               25 cm             12 cm

Step 1: Length of DC → 25 cm + 12 cm = 37 cm

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

Step 3: Area of triangle ADE → 12 x 25 cm x 43 cm = 537.5 cm2

Step 4: Shaded area of the figure ABCE → 1591 cm2 - 537.5 cm2 = 1053.5 cm2



10)  

Find the shaded area of the figure.

36 cm
                  20 cm         10 cm

Answer: 720 cm2


SOLUTION 1 :
36 cm
               20 cm             10 cm

Step 1: Length of DC → 20 cm + 10 cm = 30 cm

Step 2: Area of rectangle ABCD → 36 cm x 30 cm = 1080 cm2

Step 3: Area of triangle ADE → 12 x 20 cm x 36 cm = 360 cm2

Step 4: Shaded area of the figure ABCE → 1080 cm2 - 360 cm2 = 720 cm2