Sasi Math (Revised for 1024)

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.

Find the shaded area of the figure.

45 cm
	25 cm 14 cm

cm²

Answer:_______________

Find the shaded area of the figure.

44 cm
	24 cm 14 cm

cm²

Answer:_______________

Find the shaded area of the figure.

37 cm
	20 cm 11 cm

cm²

Answer:_______________

Find the shaded area of the figure.

42 cm
	23 cm 13 cm

cm²

Answer:_______________

Find the shaded area of the figure.

43 cm
	23 cm 14 cm

cm²

Answer:_______________

Find the shaded area of the figure.

38 cm
	22 cm 10 cm

cm²

Answer:_______________

Find the shaded area of the figure.

38 cm
	20 cm 12 cm

cm²

Answer:_______________

Find the shaded area of the figure.

39 cm
	20 cm 13 cm

cm²

Answer:_______________

Find the shaded area of the figure.

43 cm
	25 cm 12 cm

cm²

Answer:_______________

10)

Find the shaded area of the figure.

41 cm
	20 cm 15 cm

cm²

Answer:_______________

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 → $\frac{1}{2}$ 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

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 → $\frac{1}{2}$ x 24 cm x 44 cm = 528 cm²

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

Find the shaded area of the figure.

37 cm
	20 cm 11 cm

Answer: 777 cm²

SOLUTION 1 :

37 cm
	20 cm 11 cm

Step 1: Length of DC → 20 cm + 11 cm = 31 cm

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

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 20 cm x 37 cm = 370 cm²

Step 4: Shaded area of the figure ABCE → 1147 cm²- 370 cm² = 777 cm²

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 → $\frac{1}{2}$ x 23 cm x 42 cm = 483 cm²

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

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 → $\frac{1}{2}$ 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

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 → $\frac{1}{2}$ x 22 cm x 38 cm = 418 cm²

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

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 → $\frac{1}{2}$ x 20 cm x 38 cm = 380 cm²

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

Find the shaded area of the figure.

39 cm
	20 cm 13 cm

Answer: 897 cm²

SOLUTION 1 :

39 cm
	20 cm 13 cm

Step 1: Length of DC → 20 cm + 13 cm = 33 cm

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

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 20 cm x 39 cm = 390 cm²

Step 4: Shaded area of the figure ABCE → 1287 cm²- 390 cm² = 897 cm²

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 → $\frac{1}{2}$ 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.

41 cm
	20 cm 15 cm

Answer: 1025 cm²

SOLUTION 1 :

41 cm
	20 cm 15 cm

Step 1: Length of DC → 20 cm + 15 cm = 35 cm

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

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 20 cm x 41 cm = 410 cm²

Step 4: Shaded area of the figure ABCE → 1435 cm²- 410 cm² = 1025 cm²