Word Problems: How Many Squares? | Mathematics for Class 5: NCERT PDF Download

Q1: John has a rectangular garden with a length of 12 meters and a breadth of 8 meters. Calculate the perimeter and area of his garden.
Ans: Perimeter = 2 × (length + breadth) = 2 × (12 + 8) = 40 meters
Area = length × breadth = 12 × 8 = 96 square meters

Q2: A circular pond has a radius of 5 meters. Determine the circumference and area of the pond.
Ans: Circumference = 2 × π × radius = 2 × 3.14 × 5 ≈ 31.4 meters
Area = π × radius × radius = 3.14 × 5 × 5 ≈ 78.5 square meters

Q3: Find the perimeter and area of a triangle with sides measuring 9 cm, 12 cm, and 15 cm.
Ans: Perimeter = a + b + c = 9 + 12 + 15 = 36 cm
Area = 1/2 × base × height = 1/2 × 9 × 12 = 54 square cm

Q4: Mary has a square tile with a side length of 6 inches. Determine the perimeter and area of the tile.
Ans: Perimeter = 4 × side = 4 × 6 = 24 inches
Area = side × side = 6 × 6 = 36 square inches

Q5: Calculate the perimeter and area of a rectangle with a length of 14 cm and a breadth of 10 cm.
Ans: Perimeter = 2 × (length + breadth) = 2 × (14 + 10) = 48 cm
Area = length × breadth = 14 × 10 = 140 square cm

Q6: A right-angled triangle has a base of 8 meters and a height of 6 meters. Find the perimeter and area of the triangle.
Ans: Perimeter = a + b + c = 8 + 6 + 10 (using Pythagorean theorem) = 24 meters
Area = 1/2 × base × height = 1/2 × 8 × 6 = 24 square meters

Q7: Tom has a rectangular book with a length of 18 cm and a breadth of 5 cm. Determine the perimeter and area of the book.
Ans: Perimeter = 2 × (length + breadth) = 2 × (18 + 5) = 46 cm
Area = length × breadth = 18 × 5 = 90 square cm

Q8: Calculate the circumference and area of a circular pizza with a radius of 12 inches.
Ans: Circumference = 2 × π × radius = 2 × 3.14 × 12 ≈ 75.36 inches
Area = π × radius × radius = 3.14 × 12 × 12 ≈ 452.16 square inches

Q9: Determine the perimeter and area of a square garden with each side measuring 9 meters.
Ans: Perimeter = 4 × side = 4 × 9 = 36 meters
Area = side × side = 9 × 9 = 81 square meters

Q10: Lisa has an equilateral triangle-shaped rug with each side measuring 15 cm. Find the perimeter and area of the rug.
Ans: Perimeter = a + b + c (since it's an equilateral triangle) = 15 + 15 + 15 = 45 cm
Area = 1/2 × base × height (for an equilateral triangle, height is also a median) = 1/2 × 15 × 12.99 (approximate) ≈ 97.43 square cm