Monday, 10 February 2025

PERIMETER AND AREA

 

 Perimeter and Area

Worksheet 1

Class 7 | CBSE | Mathematics

Section A: Multiple Choice Questions (MCQs)

  1. The perimeter of a rectangle is 48 cm. If its length is 14 cm, what is its breadth?
    a) 10 cm
    b) 12 cm
    c) 14 cm
    d) 16 cm

  2. The area of a square is 81 cm². What is its perimeter?
    a) 36 cm
    b) 40 cm
    c) 42 cm
    d) 45 cm

  3. The formula for the area of a triangle is:
    a) Base×Height\text{Base} \times \text{Height}
    b) 12×Base×Height\frac{1}{2} \times \text{Base} \times \text{Height}
    c) Base+Height\text{Base} + \text{Height}
    d) None of these

  4. A circle has a radius of 7 cm. What is its circumference?
    (Take π=3.14\pi = 3.14)
    a) 21.98 cm
    b) 43.96 cm
    c) 22 cm
    d) 44 cm

  5. If the length of a rectangular park is doubled and its breadth remains the same, how does its area change?
    a) Increases by 2 times
    b) Decreases by 2 times
    c) Remains the same
    d) None of these

Section B: Fill in the Blanks

  1. The perimeter of a square is given by the formula _______.
  2. The area of a circle is given by the formula _______.
  3. If the perimeter of an equilateral triangle is 24 cm, then each side is _______ cm.
  4. The unit of perimeter is _______ while the unit of area is _______.
  5. The area of a rectangle with length 15 cm and breadth 8 cm is _______.

Section C: Solve the Following

  1. Find the area and perimeter of a rectangle with length 12 cm and breadth 9 cm.
  2. A square has a perimeter of 32 cm. Find its area.
  3. The base of a triangle is 10 cm, and its height is 5 cm. Find its area.
  4. Find the circumference and area of a circle with radius 14 cm. (Use π=3.14\pi = 3.14)
  5. A rectangular field is 80 m long and 50 m wide. Find the cost of fencing it at ₹25 per meter.

Section D: Word Problems

  1. A rectangular garden has a length of 30 m and a breadth of 20 m. Find:
    a) Its perimeter.
    b) The cost of fencing the garden at ₹15 per meter.
  2. The side of a square park is 25 m. Find its area and perimeter.
  3. A circular track has a radius of 21 m. Find its circumference.
  4. The length of a hall is 25 m and its width is 10 m. Find its area.
  5. A triangle has sides 6 cm, 8 cm, and 10 cm. Find its perimeter.

 

Worksheet 2

Class 7 | CBSE | Mathematics

Section A: Multiple Choice Questions (MCQs)

  1. The perimeter of a square whose side is 6 cm is:
    a) 24 cm
    b) 12 cm
    c) 36 cm
    d) 30 cm

  2. A rectangle has a length of 20 cm and a breadth of 10 cm. What is its area?
    a) 100 cm²
    b) 200 cm²
    c) 300 cm²
    d) 400 cm²

  3. The circumference of a circle with radius 14 cm is:
    (Take π=3.14\pi = 3.14)
    a) 87.92 cm
    b) 88 cm
    c) 84 cm
    d) 86 cm

  4. The perimeter of an equilateral triangle of side 9 cm is:
    a) 27 cm
    b) 18 cm
    c) 36 cm
    d) 9 cm

  5. If the area of a square is 64 cm², then the length of its side is:
    a) 8 cm
    b) 10 cm
    c) 6 cm
    d) 12 cm

Section B: Fill in the Blanks

  1. The formula for the perimeter of a rectangle is _______.
  2. The area of a triangle with base 12 cm and height 5 cm is _______.
  3. The perimeter of a circle is also called its _______.
  4. The unit of area is always expressed in _______.
  5. The perimeter of a square with a side of 15 cm is _______.

Section C: Solve the Following

  1. Find the perimeter of a rectangle with length 18 cm and breadth 12 cm.
  2. A square has an area of 121 cm². Find its perimeter.
  3. Find the area and perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm.
  4. A rectangular plot is 50 m long and 30 m wide. Find its area and cost of flooring at ₹40 per square meter.
  5. Find the circumference and area of a circle with a radius of 21 cm. (Use π=3.14\pi = 3.14)

Section D: Word Problems

  1. A farmer has a square field of side 50 m. Find:
    a) Its perimeter.
    b) The cost of fencing at ₹12 per meter.
  2. A rectangular floor is 12 m long and 8 m wide. Find the cost of tiling the floor at ₹45 per square meter.
  3. A garden is in the shape of an equilateral triangle with a side of 25 m. Find its perimeter.
  4. The base of a triangular board is 24 cm, and its height is 10 cm. Find its area.
  5. A circular park has a diameter of 28 m. Find its circumference and area.
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