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CBSE Class 4  >  Class 4 Notes  >  Mathematics  >  Worksheet Solutions: Perimeter and Area

Worksheet Solutions: Perimeter and Area

Q1: Find the perimeter of each of the following figures:
(i) Perimeter of the triangle is ______ cm.
Worksheet Solutions: Perimeter and AreaAns: 6 + 5 + 3 = 14 cm

(ii) Perimeter of the square is ______ cm.
Worksheet Solutions: Perimeter and AreaAns: 4 + 4 + 4 + 4 = 16 cm

(iii) Perimeter of the square is ______ cm.

Worksheet Solutions: Perimeter and AreaAns: 7 + 7 + 7 + 7 = 28 cm

(iv) Perimeter of the rectangle is ______ cm.

Worksheet Solutions: Perimeter and AreaAns: 8+ 5 + 8 + 5 = 26 cm

(v) Perimeter of the triangle is ______ cm.

Worksheet Solutions: Perimeter and AreaAns: 5+ 9 + 5 = 19 cm

(vi) The perimeter of the rectangle is ______ cm.

Worksheet Solutions: Perimeter and AreaAns: 8+ 2 + 8 + 2 = 20 cm

Q2: In the following figures, assume that each small square is 1 sq cm. Count the squares and find the area:
(i) Area = ______ sq cm.

Worksheet Solutions: Perimeter and AreaAns: 18 sq cm

(ii) Area = ______ sq cm.
Worksheet Solutions: Perimeter and AreaAns: 8 sq cm

(iii) Area = ______ sq cm.
Worksheet Solutions: Perimeter and AreaAns: 8 sq cm

(iv) Area = ______ sq cm.

Worksheet Solutions: Perimeter and AreaAns: 49 sq cm

(v) Area = ______ sq cm.

Worksheet Solutions: Perimeter and AreaAns: 16 sq cm

Q3: Find the area of the rectangle, whose:
(i) length = 5 m 8 cm, breadth = 3 m 75 cm
Ans: 5.8 x 3.75 = 21.75 sq m

(ii) length = 4 m 50 cm, breadth = 2 m 7 cm
Ans: 4.50 x 2.7 = 12.15 sq m

(iii) length = 1 m 5 cm, breadth = 90 cm
Ans: 1.5 x 90 = 1.35 sq m

(iv) length = 125 m, breadth = 84 m
Ans: 125 x 84 = 10500 m

(v) length = 80 cm, breadth = 24 cm
Ans: 80 x 24 = 1920 sq cm

Q4: Find the perimeter of:
(i) The triangle whose sides are 8 cm, 9 cm, and 12 cm.
Ans: Perimeter = 8 + 9 + 12 = 29 cm

(ii) The square whose side is 14 cm.
Ans: Perimeter = 4 x14 
or 14 + 14 + 14 + 14 = 56 cm

Q5: Find the area of the following rectangles:
(i) 
Worksheet Solutions: Perimeter and Area

Ans: Area of rectangle = l x b
= 10 x 15 = 150 sq cm

(ii)
Worksheet Solutions: Perimeter and Area
Ans: Area of rectangle = l x b
= 2 x 5 = 10 sq cm

Q6: Find the area of the square, whose:
(i) side = 256 dm
Ans: 256 x 256 = 65536 sq dm

(ii) side = 92 dm
Ans: 92 x 92 = 8464 sq dm

(iii) side = 18m
Ans: 18 x 18 = 324 sq m

(iv) side = 7 cm
Ans: 7 x 7 = 49 sq cm

(v) side = 20 cm
Ans: 20 x 20 = 400 sq cm

Q7: Find the area of the following squares:
Area of square = side x side
(i)
Worksheet Solutions: Perimeter and Area
Ans: 20 x 20 = 400 sq cm

(ii)
Worksheet Solutions: Perimeter and Area
Ans: 6 x 6 = 36 sq cm

Q8: Find the area of a square whose side is 4 cm.
Ans: Area = 4 x 4 = 16 sq cm

Q9: Area of a rectangle = ______ x ______.
Ans: Length x breadth

Q10: Area of a square of side 1 cm = ______.
Ans: 1 x 1 = 1 sq cm

Q11: Area of a rectangle of dimensions 1 m and 2 m is ______ sq m.
Ans: 1 x 2 = 2 sq m

Q12: Area of a square = ____x  ____.
Ans: side x side.

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FAQs on Worksheet Solutions: Perimeter and Area

1. How do I find the perimeter of a rectangle when I only know the length and width?
Ans. Perimeter of a rectangle equals 2 times the length plus 2 times the width, or P = 2(l + w). Simply add all four sides together. For example, a rectangle with length 5 cm and width 3 cm has a perimeter of 2(5) + 2(3) = 16 cm. This formula works because opposite sides of rectangles are always equal in length.
2. What's the difference between perimeter and area, and why do I keep mixing them up?
Ans. Perimeter measures the distance around the outside edge of a shape, while area measures the space inside it. Perimeter uses linear units (cm, m), whereas area uses square units (cm², m²). Think: perimeter is like a fence around a garden, area is the garden itself. They measure completely different things, so they require different formulas and calculations.
3. How do I calculate the area of a square if the worksheet only gives me the perimeter?
Ans. Divide the perimeter by 4 to find one side length, then multiply that length by itself. For instance, if perimeter is 20 cm, each side is 5 cm, so area = 5 × 5 = 25 cm². This two-step process converts the outer measurement into an inner space measurement using the relationship between a square's sides.
4. Why do some worksheet solutions show different methods for finding area of rectangles?
Ans. Different methods exist because area of rectangles can be calculated by counting unit squares, using the length × width formula, or breaking the shape into smaller parts. All methods give identical answers; teachers present multiple approaches so students understand the concept deeply rather than memorising one formula blindly.
5. Can I use the same perimeter formula for all shapes, or does it change for triangles and other polygons?
Ans. The perimeter formula changes for different shapes. For any polygon, add all side lengths together. Rectangles use P = 2(l + w), squares use P = 4s, but triangles require adding three sides individually. The core principle-sum all outer edges-remains constant, but specific formulas vary by shape's geometry.
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