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Chapter 10: Perimeter and Area > Easy Level Worksheet

Easy Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Write the formula for the perimeter of a square.

Correct! The perimeter of a square = 4 × side = 4a.

(2) Find the perimeter of a rectangle whose length = 8 cm and breadth = 5 cm.

Perfect! Perimeter = 2(l + b) = 2(8 + 5) = 26 cm.

(3) If the side of a square is 6 cm, find its perimeter.

Excellent! Perimeter = 4 × 6 = 24 cm.

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

Great! Area of rectangle = length × breadth.

(5) Find the area of a rectangle whose length = 10 cm and breadth = 4 cm.

Correct! Area = 10 × 4 = 40 cm2.

Short Answer Questions (2 Marks Each)

Answer each question clearly

(1) A square park has each side of 12 m. Find its perimeter.

Excellent! Perimeter = 4 × 12 = 48 m.

(2) A rectangle has length 15 cm and breadth 7 cm. Find its area.

Perfect! Area = 15 × 7 = 105 cm2.

(3) Find the side of a square whose perimeter is 36 cm.

Correct! Side = Perimeter ÷ 4 = 36 ÷ 4 = 9 cm.

(4) A rectangular garden has length 25 m and breadth 10 m. Find its perimeter.

Great! Perimeter = 2(25 + 10) = 2(35) = 70 m.

(5) Find the area of a square of side 14 cm.

Perfect! Area = 14 × 14 = 196 cm2.

Long Answer Questions (4 Marks Each)

Note: Answer each question with complete steps and clear explanations.

(1) A rectangular playground is 50 m long and 30 m wide. Find its: (a) Perimeter (b) Area.

Perimeter: m Area: m2

(2) A square tile has side 20 cm. Find how many such tiles are required to cover a floor of area 4 m2.

Correct! Area of one tile = 20 × 20 = 400 cm2 = 0.04 m2. Number of tiles = 4 ÷ 0.04 = 100 tiles.

(3) The length of a rectangle is twice its breadth. If the perimeter is 60 cm, find its length and breadth.

Breadth: cm Length: cm

(4) A farmer wants to fence his square field of side 40 m. Find the cost of fencing at ₹25 per metre.

Perimeter: m Cost: ₹

(5) A rectangular hall is 12 m long and 9 m wide. Find the area of the hall. How many square tiles of side 3 m are needed to cover the hall?

Area: m2 Number of tiles:

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) The perimeter of a square of side a is:

(a) 2a (b) 3a (c) 4a (d) a2

2a
3a
4a
a²

Correct! Perimeter of square = 4 × side = 4a.

(2) The area of a rectangle with length l and breadth b is:

(a) l + b (b) l – b (c) l × b (d) 2(l + b)

l + b
l – b
l × b
2(l + b)

Correct! Area of rectangle = length × breadth.

(3) The side of a square whose perimeter is 20 cm is:

(a) 2 cm (b) 4 cm (c) 5 cm (d) 10 cm

2 cm
4 cm
5 cm
10 cm

Correct! Side = Perimeter ÷ 4 = 20 ÷ 4 = 5 cm.

(4) The perimeter of a rectangle of length 12 cm and breadth 8 cm is:

(a) 40 cm (b) 20 cm (c) 24 cm (d) 30 cm

40 cm
20 cm
24 cm
30 cm

Correct! Perimeter = 2(12 + 8) = 2(20) = 40 cm.

(5) The area of a square of side 9 cm is:

(a) 18 cm2 (b) 36 cm2 (c) 72 cm2 (d) 81 cm2

18 cm²
36 cm²
72 cm²
81 cm²

Correct! Area = 9 × 9 = 81 cm2.

(6) Which of these is the unit of area?

(a) cm (b) m2 (c) litre (d) kg

cm
m²
litre
kg

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

(7) The perimeter of a square of side 7 cm is:

(a) 14 cm (b) 21 cm (c) 28 cm (d) 49 cm

14 cm
21 cm
28 cm
49 cm

Correct! Perimeter = 4 × 7 = 28 cm.

(8) A rectangle with length 15 cm and breadth 5 cm has area:

(a) 20 cm2 (b) 50 cm2 (c) 75 cm2 (d) 100 cm2

20 cm²
50 cm²
75 cm²
100 cm²

Correct! Area = 15 × 5 = 75 cm2.

(9) If the side of a square is doubled, its area becomes:

(a) Twice (b) Three times (c) Four times (d) Half

Twice
Three times
Four times
Half

Correct! If side = a, area = a2. If side = 2a, area = 2a2 = 4a2.

(10) The formula for the perimeter of a rectangle is:

(a) 2(l + b) (b) l × b (c) l + b (d) l – b

2(l + b)
l × b
l + b
l – b

Correct! Perimeter of rectangle = 2(length + breadth).

4a
l × b
2(l + b)
a²
Side ÷ 4
√Area
Perimeter ÷ 4
Side × Side
Perimeter Formulas
Area Formulas

True or False

Determine whether these statements are True or False:

Perimeter is measured in linear units
Area of rectangle = 2(l + b)
Perimeter of square = side²
Area is measured in square units
Area of square = side × side
Units of area include cm², m²

Quiz