Sasi Math (Revised for 1024)

Scroll:Measurement >> Area of Triangle >> ps (1319)

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.

The figure below is made up of 8 squares of side 2 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 4 squares of side 6 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 8 squares of side 3 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 4 squares of side 3 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 8 squares of side 10 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 4 squares of side 8 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 8 squares of side 4 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 4 squares of side 7 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 8 squares of side 6 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

10)

The figure below is made up of 4 squares of side 12 cm each.

Find the area of the shaded parts.

cm²

Answer:_______________

The figure below is made up of 8 squares of side 2 cm each.

Find the area of the shaded parts.

Answer: 8 cm²

SOLUTION 1 :

2 cm

2 cm

Step 1: Length of FG → 2 cm + 2 cm = 4 cm

Step 2: Area of triangle EFG → $\frac{1}{2}$ x 2 cm x 4 cm = 4 cm²

Step 3: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 4 cm x 2 cm

= 4 cm²

Step 4: Area of shaded parts → 4 cm² + 4 cm²

= 8 cm²

The figure below is made up of 4 squares of side 6 cm each.

Find the area of the shaded parts.

Answer: 36 cm²

SOLUTION 1 :

6 cm

6 cm

Step 1: Area of triangle EFG → $\frac{1}{2}$ x 6 cm x 6 cm = 18 cm²

Step 2: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 6 cm x 6 cm

= 18 cm²

Step 3: Area of shaded parts → 18 cm² + 18 cm²

= 36 cm²

The figure below is made up of 8 squares of side 3 cm each.

Find the area of the shaded parts.

Answer: 18 cm²

SOLUTION 1 :

3 cm

3 cm

Step 1: Length of FG → 3 cm + 3 cm = 6 cm

Step 2: Area of triangle EFG → $\frac{1}{2}$ x 3 cm x 6 cm = 9 cm²

Step 3: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 6 cm x 3 cm

= 9 cm²

Step 4: Area of shaded parts → 9 cm² + 9 cm²

= 18 cm²

The figure below is made up of 4 squares of side 3 cm each.

Find the area of the shaded parts.

Answer: 9 cm²

SOLUTION 1 :

3 cm

3 cm

Step 1: Area of triangle EFG → $\frac{1}{2}$ x 3 cm x 3 cm = 4.5 cm²

Step 2: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 3 cm x 3 cm

= 4.5 cm²

Step 3: Area of shaded parts → 4.5 cm² + 4.5 cm²

= 9 cm²

The figure below is made up of 8 squares of side 10 cm each.

Find the area of the shaded parts.

Answer: 200 cm²

SOLUTION 1 :

10 cm

10 cm

Step 1: Length of FG → 10 cm + 10 cm = 20 cm

Step 2: Area of triangle EFG → $\frac{1}{2}$ x 10 cm x 20 cm = 100 cm²

Step 3: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 20 cm x 10 cm

= 100 cm²

Step 4: Area of shaded parts → 100 cm² + 100 cm²

= 200 cm²

The figure below is made up of 4 squares of side 8 cm each.

Find the area of the shaded parts.

Answer: 64 cm²

SOLUTION 1 :

8 cm

8 cm

Step 1: Area of triangle EFG → $\frac{1}{2}$ x 8 cm x 8 cm = 32 cm²

Step 2: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 8 cm x 8 cm

= 32 cm²

Step 3: Area of shaded parts → 32 cm² + 32 cm²

= 64 cm²

The figure below is made up of 8 squares of side 4 cm each.

Find the area of the shaded parts.

Answer: 32 cm²

SOLUTION 1 :

4 cm

4 cm

Step 1: Length of FG → 4 cm + 4 cm = 8 cm

Step 2: Area of triangle EFG → $\frac{1}{2}$ x 4 cm x 8 cm = 16 cm²

Step 3: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 8 cm x 4 cm

= 16 cm²

Step 4: Area of shaded parts → 16 cm² + 16 cm²

= 32 cm²

The figure below is made up of 4 squares of side 7 cm each.

Find the area of the shaded parts.

Answer: 49 cm²

SOLUTION 1 :

7 cm

7 cm

Step 1: Area of triangle EFG → $\frac{1}{2}$ x 7 cm x 7 cm = 24.5 cm²

Step 2: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 7 cm x 7 cm

= 24.5 cm²

Step 3: Area of shaded parts → 24.5 cm² + 24.5 cm²

= 49 cm²

The figure below is made up of 8 squares of side 6 cm each.

Find the area of the shaded parts.

Answer: 72 cm²

SOLUTION 1 :

6 cm

6 cm

Step 1: Length of FG → 6 cm + 6 cm = 12 cm

Step 2: Area of triangle EFG → $\frac{1}{2}$ x 6 cm x 12 cm = 36 cm²

Step 3: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 12 cm x 6 cm

= 36 cm²

Step 4: Area of shaded parts → 36 cm² + 36 cm²

= 72 cm²

10)

The figure below is made up of 4 squares of side 12 cm each.

Find the area of the shaded parts.

Answer: 144 cm²

SOLUTION 1 :

12 cm

12 cm

Step 1: Area of triangle EFG → $\frac{1}{2}$ x 12 cm x 12 cm = 72 cm²

Step 2: Area of triangle AFG → $\frac{1}{2}$ x FG x AH

= $\frac{1}{2}$ x 12 cm x 12 cm

= 72 cm²

Step 3: Area of shaded parts → 72 cm² + 72 cm²

= 144 cm²