Easy Level Worksheet

Part A: Subjective Questions - Very Short Answer (1 Mark Each)

Understanding area formulas is essential for solving real-world problems involving space and measurement.

Let's start by recalling the basic formulas for finding areas of different shapes.

1. Write the formula for the area of a rectangle.

Area = length × breadth2(l + b)

Perfect! Area of rectangle = length × breadth (or l × b).

2. Find the area of a square of side 5 cm.

Answer: cm2

Excellent! Area = side² = 5² = 25 cm2.

3. Write the formula for the area of a triangle.

Area = 12×base×heightbase × height (Note: Either form is correct)

Great! Area of triangle = 12 × base × height.

4. Find the area of a parallelogram with base 10 cm and height 6 cm.

Answer: cm2

Correct! Area = base × height = 10 × 6 = 60 cm2.

5. What is the area of a rectangle whose length = 8 cm and breadth = 3 cm?

Answer: cm2

Perfect! Area = l × b = 8 × 3 = 24 cm2.

Drag each formula to its correct shape:

Part A: Section B – Short Answer Questions (2 Marks Each)

1. Find the area of a triangle with base = 12 cm and height = 8 cm.

Formula: Area = 12 × ×

Substituting values: Area = 12 × ×

Area = cm2

Excellent! The area is 48 cm2.

2. Find the area of a rhombus whose diagonals are 10 cm and 8 cm.

Formula: Area = 12 × d₁ × d₂ = 12 × ×

Area = 12 × 80 = cm2

Perfect! The area of the rhombus is 40 cm2.

3. A trapezium has parallel sides 8 cm and 12 cm, height = 5 cm. Find its area.

Formula: Area = 12 × (sum of parallel sides) × height

Sum of parallel sides = + = cm

Area = 12 × ×

Area = 12 × 100 = cm2

Great work! The area is 50 cm2.

4. A rectangle has perimeter = 40 cm and length = 12 cm. Find its area.

Perimeter = 2(l + b) = 40

So, l + b = cm

Given length = 12 cm, so breadth = cm

Area = l × b = 12 × = cm2

Excellent! The area is 96 cm2.

Part B: Objective Questions - Test Your Knowledge!

Answer these multiple choice questions:

6. The area of a trapezium = ?

(a) 1/2 × sum of parallel sides × height (b) sum of sides × height (c) product of sides (d) difference of sides × height

Perfect! Trapezium area = 1/2 × (a + b) × h, where a and b are parallel sides.

7. The diagonals of a rhombus are 10 cm and 8 cm. Area = ?

(a) 20 cm2 (b) 30 cm2 (c) 40 cm2 (d) 80 cm2

Excellent! Area = 1/2 × 10 × 8 = 40 cm².

8. Unit of area is:

(a) cm (b) cm2 (c) cm³ (d) m3

Correct! Area is always measured in square units like cm2 or m².

9. If length = breadth = 6 cm, area = ?

(a) 36 cm2 (b) 12 cm2 (c) 6 cm2 (d) 60 cm2

Perfect! When length = breadth, it's a square. Area = 6² = 36 cm2.

10. Area of triangle with base 10 cm and height 8 cm = ?

(a) 80 cm2 (b) 40 cm2 (c) 30 cm2 (d) 20 cm2

Brilliant! Area = 1/2 × 10 × 8 = 40 cm2.

🎉 Fantastic Work! You've Mastered Area Calculations!

Here's what you learned:

• Basic Area Formulas: Rectangle (l × b), Square (a²), Triangle (1/2 × b × h)

• Advanced Shapes: Parallelogram (b × h), Rhombus (1/2 × d₁ × d₂), Trapezium (1/2 × (a+b) × h)

• Units of Measurement: Understanding cm2, m² and conversions

• Problem Solving: Finding missing dimensions using perimeter and area relationships

• Real-world Applications: Calculating areas of various geometric shapes

These foundational skills will help you solve practical problems involving land measurement, construction, and design!