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.

39 cm
                  21 cm         12 cm

cm2


Answer:_______________




2)  

Find the shaded area of the figure.

40 cm
                  23 cm         11 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.

41 cm
                  25 cm         10 cm

cm2


Answer:_______________




5)  

Find the shaded area of the figure.

38 cm
                  20 cm         12 cm

cm2


Answer:_______________




6)  

Find the shaded area of the figure.

43 cm
                  24 cm         13 cm

cm2


Answer:_______________




7)  

Find the shaded area of the figure.

45 cm
                  25 cm         14 cm

cm2


Answer:_______________




8)  

Find the shaded area of the figure.

44 cm
                  24 cm         14 cm

cm2


Answer:_______________




9)  

Find the shaded area of the figure.

37 cm
                  21 cm         10 cm

cm2


Answer:_______________




10)  

Find the shaded area of the figure.

41 cm
                  22 cm         13 cm

cm2


Answer:_______________




 

1)  

Find the shaded area of the figure.

39 cm
                  21 cm         12 cm

Answer: 877.5 cm2


SOLUTION 1 :
39 cm
               21 cm             12 cm

Step 1: Length of DC → 21 cm + 12 cm = 33 cm

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

Step 3: Area of triangle ADE → 12 x 21 cm x 39 cm = 409.5 cm2

Step 4: Shaded area of the figure ABCE → 1287 cm2 - 409.5 cm2 = 877.5 cm2



2)  

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



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.

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



5)  

Find the shaded area of the figure.

38 cm
                  20 cm         12 cm

Answer: 836 cm2


SOLUTION 1 :
38 cm
               20 cm             12 cm

Step 1: Length of DC → 20 cm + 12 cm = 32 cm

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

Step 3: Area of triangle ADE → 12 x 20 cm x 38 cm = 380 cm2

Step 4: Shaded area of the figure ABCE → 1216 cm2 - 380 cm2 = 836 cm2



6)  

Find the shaded area of the figure.

43 cm
                  24 cm         13 cm

Answer: 1075 cm2


SOLUTION 1 :
43 cm
               24 cm             13 cm

Step 1: Length of DC → 24 cm + 13 cm = 37 cm

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

Step 3: Area of triangle ADE → 12 x 24 cm x 43 cm = 516 cm2

Step 4: Shaded area of the figure ABCE → 1591 cm2 - 516 cm2 = 1075 cm2



7)  

Find the shaded area of the figure.

45 cm
                  25 cm         14 cm

Answer: 1192.5 cm2


SOLUTION 1 :
45 cm
               25 cm             14 cm

Step 1: Length of DC → 25 cm + 14 cm = 39 cm

Step 2: Area of rectangle ABCD → 45 cm x 39 cm = 1755 cm2

Step 3: Area of triangle ADE → 12 x 25 cm x 45 cm = 562.5 cm2

Step 4: Shaded area of the figure ABCE → 1755 cm2 - 562.5 cm2 = 1192.5 cm2



8)  

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



9)  

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



10)  

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