Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Write the formula for the area of a square.
Correct! The area of a square = side × side =
(2) Find the perimeter of a square whose side = 15 cm.
Perfect! Perimeter = 4 × 15 = 60 cm.
(3) If the breadth of a rectangle is 7 cm and its area is 84
Excellent! Length = Area ÷ breadth = 84 ÷ 7 = 12 cm.
(4) Write the unit of area in the SI system.
Great! The SI unit of area is square metre (
(5) If the side of a square is 20 m, find its area.
Correct! Area = 20 × 20 = 400
Short Answer Questions (2 Marks Each)
Answer each question clearly
(1) A rectangular garden has length 24 m and breadth 15 m. Find its: (a) Perimeter (b) Area.
Perimeter:
Excellent! Perimeter = 2(24 + 15) = 78 m, Area = 24 × 15 = 360
(2) Find the side of a square whose area is 121
Perfect! Side =
(3) The perimeter of a rectangle is 50 cm. If its length is 15 cm, find its breadth.
Correct! Breadth = (Perimeter ÷ 2) - length = (50 ÷ 2) - 15 = 10 cm.
(4) Find the cost of fencing a rectangular plot of length 40 m and breadth 25 m at ₹12 per metre.
Great! Perimeter = 2(40 + 25) = 130 m. Cost = 130 × 12 = ₹1,560.
(5) A rectangular hall has length 28 m and breadth 15 m. Find the number of square tiles of side 1 m needed to cover the floor.
Perfect! Area = 28 × 15 = 420
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear explanations.
(1) A rectangular park is 60 m long and 40 m wide. A path 2 m wide is constructed around it inside. Find the area of the path.
Area of path:
Correct! Park area = 60 × 40 = 2400
(2) A farmer has a square field of side 50 m. He wants to build a fence around it. Find the cost of fencing at ₹20 per metre.
Perfect! Perimeter = 4 × 50 = 200 m. Cost = 200 × 20 = ₹4,000.
(3) A hall is 30 m long and 20 m wide. How many square carpets of side 5 m are required to cover the entire hall?
Excellent! Hall area = 30 × 20 = 600
(4) A square swimming pool has side 25 m. Find its area. How much will it cost to tile it at the rate of ₹ 50 per
Area:
(5) The length of a rectangle is twice its breadth. If its perimeter is 60 m, find its area.
Correct! Let breadth = x, then length = 2x. Perimeter = 2(x + 2x) = 6x = 60, so x = 10. Area = 20 × 10 = 200
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The area of a square of side a is:
(a) 2a (b) 4a (c)
Correct! Area of square = side × side =
(2) The perimeter of a rectangle of length l and breadth b is:
(a) l × b (b) l + b (c) 2(l + b) (d) l – b
Correct! Perimeter of rectangle = 2(length + breadth).
(3) If the side of a square is 12 cm, its area is:
(a) 48
Correct! Area = 12 × 12 = 144
(4) A rectangle has length 25 cm and breadth 10 cm. Its perimeter is:
(a) 70 cm (b) 50 cm (c) 35 cm (d) 20 cm
Correct! Perimeter = 2(25 + 10) = 2(35) = 70 cm.
(5) The breadth of a rectangle is 12 cm. If its length is twice the breadth, then its area is:
(a) 144
Correct! Length = 2 × 12 = 24 cm. Area = 24 × 12 = 288
(6) The cost of fencing a square park of side 40 m at ₹10 per metre is:
(a) ₹200 (b) ₹400 (c) ₹1,600 (d) ₹4,000
Correct! Perimeter = 4 × 40 = 160 m. Cost = 160 × 10 = ₹1,600.
(7) A rectangular field is 30 m long and 20 m wide. Its area is:
(a) 500
Correct! Area = 30 × 20 = 600
(8) The unit of area is always expressed in:
(a) cm (b)
Correct! Area is always measured in square units like
(9) The perimeter of a square park is 100 m. Its side is:
(a) 10 m (b) 20 m (c) 25 m (d) 50 m
Correct! Side = Perimeter ÷ 4 = 100 ÷ 4 = 25 m.
(10) A rectangular playground has length 60 m and breadth 40 m. Its perimeter is:
(a) 100 m (b) 120 m (c) 200 m (d) 240 m
Correct! Perimeter = 2(60 + 40) = 2(100) = 200 m.
True or False
Determine whether these statements are True or False: