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.

42 cm
                  22 cm         14 cm

cm2


Answer:_______________




3)  

Find the shaded area of the figure.

42 cm
                  21 cm         15 cm

cm2


Answer:_______________




4)  

Find the shaded area of the figure.

40 cm
                  23 cm         11 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.

36 cm
                  20 cm         10 cm

cm2


Answer:_______________




7)  

Find the shaded area of the figure.

38 cm
                  20 cm         12 cm

cm2


Answer:_______________




8)  

Find the shaded area of the figure.

45 cm
                  25 cm         14 cm

cm2


Answer:_______________




9)  

Find the shaded area of the figure.

46 cm
                  25 cm         15 cm

cm2


Answer:_______________




10)  

Find the shaded area of the figure.

39 cm
                  23 cm         10 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.

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



3)  

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



4)  

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



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.

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



7)  

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



8)  

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



9)  

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



10)  

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