Q1: A rectangle has a length of 15 cm and a breadth of 10 cm. What is its area?
Ans: 150 cm²
Area of a rectangle = length × breadth
= 15 × 10 = 150 cm².
Q2: A square has an area of 64 cm². What is the length of its side?
Ans: 8 cm
Area of a square = side × side
So, side² = 64
Side = √64 = 8 cm.
Q3: Find the perimeter of a square with a side length of 7 cm.
Ans: 28 cm
Perimeter of a square = 4 × side
= 4 × 7 = 28 cm.
Q4: Calculate the perimeter of a rectangle with a length of 18 cm and a breadth of 12 cm.
Ans: 60 cm
Perimeter of a rectangle = 2 × (length + breadth)
= 2 × (18 + 12) = 2 × 30 = 60 cm.
Q5: A cube has a side length of 5 cm. How many square faces does it have?
Ans: 6 faces
A cube has six equal square faces.
Q6: A cylinder has two circular bases with a radius of 7 cm. What is the area of one base?
Ans: 154 cm²
Area of a circle = π × radius²
= 3.14 × 7 × 7 = 153.86 ≈ 154 cm².
Q7: A triangle has a base of 10 cm and a height of 8 cm. What is its area?
Ans: 40 cm²
Area of a triangle = ½ × base × height
= ½ × 10 × 8 = 40 cm².
Q8: A garden has a rectangular shape with a length of 25 meters and a width of 15 meters. Find the area of the garden.
Ans: 375 m²
Area of a rectangle = length × width
= 25 × 15 = 375 m².
Q9: The perimeter of a square park is 120 m. Find the length of one side of the park.
Ans: 30 m
Perimeter of a square = 4 × side
So, 120 = 4 × side
Side = 120 ÷ 4 = 30 m.
Q10: A bedsheet measures 200 cm by 150 cm. How much lace will be required to cover the edges of the bedsheet?
Ans: 700 cm
Perimeter of the bedsheet = 2 × (length + breadth)
= 2 × (200 + 150) = 2 × 350 = 700 cm.
Q11: If the length of a rectangle is 18 cm and its area is 216 cm², what is its breadth?
Ans: 12 cm
Area of rectangle = length × breadth
216 = 18 × breadth
Breadth = 216 ÷ 18 = 12 cm.
Q12: A square-shaped tile has a side of 9 cm. How many such tiles will be needed to cover an area of 810 cm²?
Ans: 10 tiles
Area of one tile = side × side = 9 × 9 = 81 cm²
Number of tiles = total area ÷ area of one tile
= 810 ÷ 81 = 10 tiles.
Q13: Find the area of a square park whose perimeter is 64 m.
Ans: 256 m²
Perimeter of square = 4 × side
64 = 4 × side
Side = 64 ÷ 4 = 16 m
Area of the square = side × side
= 16 × 16 = 256 m².
Q14: A rectangular board has a length of 12 cm and a breadth of 8 cm. How many square sheets with a side of 4 cm are required to cover the board?
Ans: 6 sheets
Area of board = length × breadth
= 12 × 8 = 96 cm²
Area of one square sheet = side × side
= 4 × 4 = 16 cm²
Number of sheets required = area of board ÷ area of one sheet
= 96 ÷ 16 = 6 sheets.
Q15: A room's floor is 6 meters long and 4 meters wide. If tiles with an area of 1 m² each are used to cover the floor, how many tiles will be needed?
Ans: 24 tiles
Area of the floor = length × width
= 6 × 4 = 24 m²
Each tile covers 1 m², so 24 tiles will be needed.
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1. What are the basic geometrical shapes that we learn in Class 5? |
2. How do we differentiate between 2D and 3D shapes? |
3. Can you explain the properties of a triangle? |
4. What is the difference between a solid shape and a flat shape? |
5. How can we find the area of different geometrical shapes? |
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