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.

37 cm
                  21 cm         10 cm

cm2


Answer:_______________




2)  

Find the shaded area of the figure.

40 cm
                  21 cm         13 cm

cm2


Answer:_______________




3)  

Find the shaded area of the figure.

41 cm
                  23 cm         12 cm

cm2


Answer:_______________




4)  

Find the shaded area of the figure.

41 cm
                  24 cm         11 cm

cm2


Answer:_______________




5)  

Find the shaded area of the figure.

41 cm
                  25 cm         10 cm

cm2


Answer:_______________




6)  

Find the shaded area of the figure.

40 cm
                  20 cm         14 cm

cm2


Answer:_______________




7)  

Find the shaded area of the figure.

41 cm
                  21 cm         14 cm

cm2


Answer:_______________




8)  

Find the shaded area of the figure.

42 cm
                  21 cm         15 cm

cm2


Answer:_______________




9)  

Find the shaded area of the figure.

38 cm
                  22 cm         10 cm

cm2


Answer:_______________




10)  

Find the shaded area of the figure.

43 cm
                  22 cm         15 cm

cm2


Answer:_______________




 

1)  

Find the shaded area of the figure.

37 cm
                  21 cm         10 cm

Answer: 758.5 cm2


SOLUTION 1 :
37 cm
               21 cm             10 cm

Step 1: Length of DC → 21 cm + 10 cm = 31 cm

Step 2: Area of rectangle ABCD → 37 cm x 31 cm = 1147 cm2

Step 3: Area of triangle ADE → 12 x 21 cm x 37 cm = 388.5 cm2

Step 4: Shaded area of the figure ABCE → 1147 cm2 - 388.5 cm2 = 758.5 cm2



2)  

Find the shaded area of the figure.

40 cm
                  21 cm         13 cm

Answer: 940 cm2


SOLUTION 1 :
40 cm
               21 cm             13 cm

Step 1: Length of DC → 21 cm + 13 cm = 34 cm

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

Step 3: Area of triangle ADE → 12 x 21 cm x 40 cm = 420 cm2

Step 4: Shaded area of the figure ABCE → 1360 cm2 - 420 cm2 = 940 cm2



3)  

Find the shaded area of the figure.

41 cm
                  23 cm         12 cm

Answer: 963.5 cm2


SOLUTION 1 :
41 cm
               23 cm             12 cm

Step 1: Length of DC → 23 cm + 12 cm = 35 cm

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

Step 3: Area of triangle ADE → 12 x 23 cm x 41 cm = 471.5 cm2

Step 4: Shaded area of the figure ABCE → 1435 cm2 - 471.5 cm2 = 963.5 cm2



4)  

Find the shaded area of the figure.

41 cm
                  24 cm         11 cm

Answer: 943 cm2


SOLUTION 1 :
41 cm
               24 cm             11 cm

Step 1: Length of DC → 24 cm + 11 cm = 35 cm

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

Step 3: Area of triangle ADE → 12 x 24 cm x 41 cm = 492 cm2

Step 4: Shaded area of the figure ABCE → 1435 cm2 - 492 cm2 = 943 cm2



5)  

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



6)  

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



7)  

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



8)  

Find the shaded area of the figure.

42 cm
                  21 cm         15 cm

Answer: 1071 cm2


SOLUTION 1 :
42 cm
               21 cm             15 cm

Step 1: Length of DC → 21 cm + 15 cm = 36 cm

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

Step 3: Area of triangle ADE → 12 x 21 cm x 42 cm = 441 cm2

Step 4: Shaded area of the figure ABCE → 1512 cm2 - 441 cm2 = 1071 cm2



9)  

Find the shaded area of the figure.

38 cm
                  22 cm         10 cm

Answer: 798 cm2


SOLUTION 1 :
38 cm
               22 cm             10 cm

Step 1: Length of DC → 22 cm + 10 cm = 32 cm

Step 2: Area of rectangle ABCD → 38 cm x 32 cm = 1216 cm2

Step 3: Area of triangle ADE → 12 x 22 cm x 38 cm = 418 cm2

Step 4: Shaded area of the figure ABCE → 1216 cm2 - 418 cm2 = 798 cm2



10)  

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