Sasi Math (Revised for 1024)

Scroll:Measurement >> Area of Triangle >> ps (1315)

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 6 squares of side 4cm each.

Find on the area of the shaded parts.

___cm²

Answer:_______________

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

Find the area of the shaded parts.

___cm²

Answer:_______________

The figure below is made up of 4 squares of side 9cm each.

Find the area of the shaded parts.

___cm²

Answer:_______________

The figure below is made up of 6 squares of side 10cm each.

Find on the area of the shaded parts.

___cm²

Answer:_______________

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

Find the area of the shaded parts.

___cm²

Answer:_______________

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

Find the area of the shaded parts.

___cm²

Answer:_______________

The figure below is made up of 6 squares of side 9cm each.

Find on the area of the shaded parts.

___cm²

Answer:_______________

The figure below is made up of 6 squares of side 5cm each.

Find the area of the shaded parts.

___cm²

Answer:_______________

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

Find the area of the shaded parts.

___cm²

Answer:_______________

10)

The figure below is made up of 6 squares of side 3cm each.

Find on the area of the shaded parts.

___cm²

Answer:_______________

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

Find on the area of the shaded parts.

Answer: 16cm²

SOLUTION 1 :

4cm

4cm

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

Step 2: Height of BC → 4cm + 4cm + 4cm = 12cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 8cm x 12cm = 48cm²

Height of FG = Length of AB

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 8cm x 8cm = 32cm²

Step 5: Area of shaded parts → 48cm² - 32cm² = 16cm²

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

Find the area of the shaded parts.

Answer: 128cm²

SOLUTION 1 :

8cm

8cm

Step 1: Length of AB → 8cm + 8cm = 16cm

Step 2: Height of BC → 8cm + 8cm + 8cm = 24cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 16cm x 24cm = 192cm²

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 16cm x 8cm = 64cm²

Step 5: Area of shaded parts → 192cm² - 64cm² = 128cm²

The figure below is made up of 4 squares of side 9cm each.

Find the area of the shaded parts.

Answer: 81cm²

SOLUTION 1 :

9cm

9cm

Step 1: Length of AB → 9cm + 9cm = 18cm

Step 2: Height of DC → 9cm + 9cm = 18cm

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 18cm x 9cm = 81cm²

Height of FG = Length of AD

Step 4: Area of triangle ADF → $\frac{1}{2}$ x 18cm x 18cm = 162cm²

Step 5: Area of shaded parts → 162cm² - 81cm² = 81cm²

The figure below is made up of 6 squares of side 10cm each.

Find on the area of the shaded parts.

Answer: 100cm²

SOLUTION 1 :

10cm

10cm

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

Step 2: Height of BC → 10cm + 10cm + 10cm = 30cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 20cm x 30cm = 300cm²

Height of FG = Length of AB

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 20cm x 20cm = 200cm²

Step 5: Area of shaded parts → 300cm² - 200cm² = 100cm²

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

Find the area of the shaded parts.

Answer: 72cm²

SOLUTION 1 :

6cm

6cm

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

Step 2: Height of BC → 6cm + 6cm + 6cm = 18cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 12cm x 18cm = 108cm²

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 12cm x 6cm = 36cm²

Step 5: Area of shaded parts → 108cm² - 36cm² = 72cm²

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

Find the area of the shaded parts.

Answer: 144cm²

SOLUTION 1 :

12cm

12cm

Step 1: Length of AB → 12cm + 12cm = 24cm

Step 2: Height of DC → 12cm + 12cm = 24cm

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 24cm x 12cm = 144cm²

Height of FG = Length of AD

Step 4: Area of triangle ADF → $\frac{1}{2}$ x 24cm x 24cm = 288cm²

Step 5: Area of shaded parts → 288cm² - 144cm² = 144cm²

The figure below is made up of 6 squares of side 9cm each.

Find on the area of the shaded parts.

Answer: 81cm²

SOLUTION 1 :

9cm

9cm

Step 1: Length of AB → 9cm + 9cm = 18cm

Step 2: Height of BC → 9cm + 9cm + 9cm = 27cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 18cm x 27cm = 243cm²

Height of FG = Length of AB

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 18cm x 18cm = 162cm²

Step 5: Area of shaded parts → 243cm² - 162cm² = 81cm²

The figure below is made up of 6 squares of side 5cm each.

Find the area of the shaded parts.

Answer: 50cm²

SOLUTION 1 :

5cm

5cm

Step 1: Length of AB → 5cm + 5cm = 10cm

Step 2: Height of BC → 5cm + 5cm + 5cm = 15cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 10cm x 15cm = 75cm²

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 10cm x 5cm = 25cm²

Step 5: Area of shaded parts → 75cm² - 25cm² = 50cm²

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

Find the area of the shaded parts.

Answer: 64cm²

SOLUTION 1 :

8cm

8cm

Step 1: Length of AB → 8cm + 8cm = 16cm

Step 2: Height of DC → 8cm + 8cm = 16cm

Step 3: Area of triangle ADE → $\frac{1}{2}$ x 16cm x 8cm = 64cm²

Height of FG = Length of AD

Step 4: Area of triangle ADF → $\frac{1}{2}$ x 16cm x 16cm = 128cm²

Step 5: Area of shaded parts → 128cm² - 64cm² = 64cm²

10)

The figure below is made up of 6 squares of side 3cm each.

Find on the area of the shaded parts.

Answer: 9cm²

SOLUTION 1 :

3cm

3cm

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

Step 2: Height of BC → 3cm + 3cm + 3cm = 9cm

Step 3: Area of triangle ABE → $\frac{1}{2}$ x 6cm x 9cm = 27cm²

Height of FG = Length of AB

Step 4: Area of triangle ABF → $\frac{1}{2}$ x 6cm x 6cm = 18cm²

Step 5: Area of shaded parts → 27cm² - 18cm² = 9cm²