Easy Level Worksheet

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

In this easy level, we'll learn the basics of area and perimeter, essential formulas, and simple calculations.

Let's explore the measurement of shapes!

1. Define perimeter.

Perimeter is the total lengthtotal area of the boundarysurface of a closed figure

Perfect! Perimeter is the distance around a shape.

2. Define area.

Area is the measure of the surfaceboundary enclosed by a closed figure

Excellent! Area measures the space inside a shape.

3. Write the formula for the perimeter of a rectangle.

Perimeter = × (lengtharea + breadthwidth)

Or: Perimeter = 2(l + b)

Correct! We add length and breadth, then multiply by 2.

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

Area = lengthperimeter × breadthheight

Or: Area = l × b

Perfect! Multiply length by breadth to get area.

5. Write the formula for the area of a square.

Area = sideperimeter × sidediagonal

Or: Area = side squared

Excellent! Area of square equals side times side.

6. What is the formula for the perimeter of a square?

Perimeter = × sidearea

Or: Perimeter = 4 × side

Correct! Add all four equal sides.

7. Find the perimeter of a rectangle with length 6 cm and breadth 4 cm.

Perimeter = 2(l + b) = 2( + )

= 2 ×

= cm

Perfect! Perimeter = 20 cm.

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

Area = side × side = ×

= square cm

Excellent! Area = 25 cm².

9. Write the unit of area.

Common units: square cmcm (cm²), square mm (m²)

Correct! Area is measured in square units.

10. Write the unit of perimeter.

Common units: cmcm², mm², kmkm²

Perfect! Perimeter is measured in linear units.

Drag each formula to its correct measurement:

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

1. Find the area and perimeter of a rectangle of length 8 cm and breadth 3 cm.

Area: l × b = × = cm²

Perimeter: 2(l + b) = 2( + ) = 2 × = cm

Perfect! Area = 24 cm², Perimeter = 22 cm.

2. Find the area and perimeter of a square with side 7 cm.

Area: side × side = × = cm²

Perimeter: 4 × side = 4 × = cm

Excellent! Area = 49 cm², Perimeter = 28 cm.

3. A rectangle has length 12 m and breadth 5 m. Find its area.

Area = l × b = ×

= m²

Great! Area = 60 m².

4. Find the perimeter of a triangle with sides 5 cm, 6 cm, and 7 cm.

Perimeter = sum of all sides

= + +

= cm

Perfect! Perimeter = 18 cm.

5. The side of a square garden is 20 m. Find its area and perimeter.

Area: × = m²

Perimeter: 4 × = m

Excellent! Area = 400 m², Perimeter = 80 m.

6. A rectangular park is 30 m long and 20 m wide. Find its perimeter.

Perimeter = 2(l + b) = 2( + )

= 2 ×

= m

Great! Perimeter = 100 m.

7. Find the perimeter of a square whose area is 64 m².

Area = side × side =

Side = m

Perimeter = 4 × = m

Perfect! Side = 8 m, Perimeter = 32 m.

8. Find the area of a rectangle whose perimeter is 50 cm and length is 15 cm.

Perimeter = 2(l + b) =

2(15 + b) = 50

15 + b =

b = cm

Area = 15 × = cm²

Excellent! Breadth = 10 cm, Area = 150 cm².

9. Find the area of a triangle with base 6 cm and height 8 cm.

Area = one half × base × height

= (1/2) × ×

= (1/2) ×

= cm²

Great! Area of triangle = 24 cm².

10. Find the perimeter of an equilateral triangle whose side is 5 cm.

Equilateral triangle has all sides equalunequal

Perimeter = 3 × side = 3 ×

= cm

Perfect! Perimeter = 15 cm.

Part B: Objective Questions - Test Your Knowledge!

Answer these multiple choice questions:

6. The unit of area is:

(a) cm (b) cm² (c) cm³ (d) m

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

7. The unit of perimeter is:

(a) m² (b) cm² (c) m (d) None

Perfect! Perimeter is measured in linear units like cm or m.

8. Area of rectangle with length 5 cm and breadth 3 cm =

(a) 8 cm² (b) 15 cm² (c) 10 cm² (d) 12 cm²

Excellent! Area = 5 × 3 = 15 cm².

9. Area of square with side 9 cm =

(a) 36 cm² (b) 45 cm² (c) 81 cm² (d) 27 cm²

Correct! Area = 9 × 9 = 81 cm².

10. Perimeter of a square with side 6 cm =

(a) 24 cm (b) 12 cm (c) 36 cm (d) 18 cm

Perfect! Perimeter = 4 × 6 = 24 cm.

🎉 Fantastic Work! You've Mastered Basic Area and Perimeter!

Here's what you learned:

• Key Definitions:

  Perimeter:

  • Total length of the boundary
  • Distance around a closed figure
  • Measured in linear units (cm, m, km)

  Area:

  • Measure of surface enclosed
  • Space inside a closed figure
  • Measured in square units (cm², m², km²)

• Rectangle Formulas:

  Perimeter:

  • Perimeter = 2(l + b)
  • Add length and breadth, multiply by 2
  • Example: l=8, b=3 → P = 2(8+3) = 22 cm

  Area:

  • Area = l × b
  • Multiply length by breadth
  • Example: l=8, b=3 → A = 8×3 = 24 cm²

• Square Formulas:

  Perimeter:

  • Perimeter = 4 × side
  • Add all four equal sides
  • Example: side=7 → P = 4×7 = 28 cm

  Area:

  • Area = side × side = side²
  • Square the side length
  • Example: side=7 → A = 7×7 = 49 cm²

• Triangle Formulas:

  Perimeter:

  • Perimeter = a + b + c
  • Sum of all three sides
  • Example: 5+6+7 = 18 cm

  Area:

  • Area = (1/2) × base × height
  • Half of base times height
  • Example: b=6, h=8 → A = (1/2)×6×8 = 24 cm²

  Equilateral Triangle:

  • All sides equal
  • Perimeter = 3 × side

• Units of Measurement:

  Linear units (for perimeter):

  • Millimeter (mm)
  • Centimeter (cm)
  • Meter (m)
  • Kilometer (km)

  Square units (for area):

  • Square millimeter (mm²)
  • Square centimeter (cm²)
  • Square meter (m²)
  • Square kilometer (km²)

• Problem-Solving Steps:

  1. Identify the shape
  2. Write the correct formula
  3. Substitute given values
  4. Calculate step by step
  5. Write units correctly

• Finding Unknown Dimensions:

  • Given area of square → Find side by taking square root
  • Given perimeter of rectangle and one side → Find other side
  • Example: P=50, l=15 → 2(15+b)=50 → b=10

• Common Mistakes to Avoid:

  • Don't confuse area and perimeter formulas
  • Remember to square the side for area of square
  • Don't forget to multiply by 2 for rectangle perimeter
  • Always write correct units (cm for perimeter, cm² for area)
  • Don't forget (1/2) in triangle area formula

Understanding area and perimeter is essential for real-world applications like fencing, flooring, and painting!