Geometric calculations
area and perimeter of rectangles, areas of triangles, parallelograms, rhombi and trapezia, composite shapes, angles in quadrilaterals, units of area, volume and surface area of cuboids, units of volume, word problems
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Problem
In a right-angled triangle the two sides that form the right angle are 24 cm and 10 cm long, and the longest side is 26 cm long. How many square centimetres is the area of this triangle?
Problem
In a right trapezium the parallel sides are 10 cm and 2 cm long. The leg perpendicular to them is 15 cm long, and the other leg is 17 cm long. How many square centimetres is the area of this trapezium?
Problem
The drawing shows a triangle on a grid. Each grid square has sides of 1 cm. How many square centimetres is the area of this shape?
Problem
The bathroom floor is a rectangle measuring 2.8 m × 1.6 m. How many square tiles with sides of 40 cm are needed to cover it without cutting any?
Problem
A rectangle has sides of 6 dm and 6 m. Work out its area in m².
Problem
Which unit is best for giving the area of the Tatra National Park?
Problem
A quadrilateral has sides of 290 mm, 2 dm, 2.6 dm and 14 cm. How many centimetres is its perimeter?
Work out
The perimeter of a rectangle: a = 22 cm, b = 25 cm
Work out
The area of a rectangle: a = 4 cm, b = 22 cm
Work out
The area of a rhombus: diagonals e = 17 cm, f = 16 cm
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