Discia GCSE Maths › Geometry & Measures › Area and Perimeter

Area and Perimeter worksheet

9 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

9 questions 31 marks Sheet 1
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  1. 4 marks

    Here is a rectangle.

    Rectangle with its width and height labelled16 cm7 cm
    (a)

    Find the perimeter of the rectangle.

    (b)

    Find the area of the rectangle.

  2. 2 marks

    Here is a triangle. The dashed line is the perpendicular height.

    Triangle with its base labelled and the perpendicular height drawn to it20 cm10 cm

    Work out the area of the triangle.

  3. 4 marks

    Here is a rectangle with an area of \(12\) cm².

    Rectangle with one side labelled x and the other givenx cm4 cmDiagram NOT accurately drawn
    (a)

    Work out the length of the side marked \(x\).

    (b)

    Work out the perimeter of the rectangle.

  4. 2 marks

    The diagram shows an isosceles triangle.

    Isosceles triangle with the two equal sides marked with dashes11 cm7 cm

    Find the perimeter of the triangle.

  5. 4 marks

    The diagram shows a parallelogram.

    Parallelogram with its base, sloping side and perpendicular height labelled11 cm17 cm15 cm
    (a)

    Find the area of the parallelogram.

    (b)

    Find the perimeter of the parallelogram.

  6. 3 marks

    The square below has an area of \(576\) cm².

    Square with all four sides marked equal and one side labelled xx cm
    (a)

    Work out the length of the side marked \(x\).

    (b)

    Work out the perimeter of the square.

  7. 4 marks

    Here is a regular octagon.

    Regular polygon with one side labelled7 cm
    (a)

    Work out the perimeter of the octagon.

    (b)

    A different regular octagon has a perimeter of \(80\) cm.

    Work out the length of one of its sides.

  8. 5 marks

    Here is an L-shape. Every corner of the shape is a right angle.

    L-shaped compound shape with four of its six sides labelled10 cm5 cm3 cm10 cmDiagram NOT accurately drawn
    (a)

    Calculate the perimeter of the shape.

    (b)

    Calculate the area of the shape.

  9. 3 marks

    The area of the triangle below is \(56\) cm².

    Triangle with its base labelled and its perpendicular height marked h16 cmh cm

    Calculate the perpendicular height \(h\).

Answers

  1. (a) \(46\ \text{cm}\)
    (b) \(112\ \text{cm}^2\)
  2. \(100\ \text{cm}^2\)
  3. (a) \(3\ \text{cm}\)
    (b) \(14\ \text{cm}\)
  4. \(25\ \text{cm}\)
  5. (a) \(165\ \text{cm}^2\)
    (b) \(56\ \text{cm}\)
  6. (a) \(24\ \text{cm}\)
    (b) \(96\ \text{cm}\)
  7. (a) \(56\ \text{cm}\)
    (b) \(10\ \text{cm}\)
  8. (a) \(40\ \text{cm}\)
    (b) \(65\ \text{cm}^2\)
  9. \(7\ \text{cm}\)

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