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Test: Perimeter and area

Dynamic tasks on calculating the perimeter and area of squares, rectangles, right triangles and composite shapes. The test also includes missing-side and practical fencing problems.

Question qty: 10
Duration in minutes: 19
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Sample questions

  • A rectangular plot is a m long and b m wide. A c m-wide opening is left for the gate. How many metres of fencing are needed?
  • Calculate the area of the L-shaped figure. A smaller rectangle has been removed from the larger rectangle.
  • Calculate the area of the rectangle.
  • One side of a rectangle is a cm and its perimeter is p cm. What is the length of the other side?
  • Calculate the perimeter of the rectangle.
  • Calculate the area of the right triangle.
  • Calculate the perimeter of the square.
  • Calculate the area of the square when its perimeter is given.

Perimeter and area

Perimeter is the distance around a shape, so side lengths are added and the result uses units of length. Area describes the inside and uses square units. For a rectangle P = 2(a + b), A = a × b; for a square P = 4a, A = a².

Composite shapes

A composite shape can be divided into simpler rectangles or triangles and their areas added. For perimeter, count only the outside boundary; internal dividing lines are not included.

If an area and one rectangle side are known, divide the area by that side to find the other. In a fencing problem, determine whether the complete boundary is enclosed or a gate is left open. Convert every length to the same unit before calculating.

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