MathsFreePrintable

Area Exploration Worksheet

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Area Exploration Worksheet

Explore the properties and areas of parallelograms and trapeziums. Show your working for calculations and include units in your answers.

Shape Properties and Drawing

1.Draw a parallelogram that is not a rectangle. Label its base and draw a perpendicular height from the opposite side to the base.

2.Sketch a trapezium. Mark its parallel sides and show the perpendicular height between them.

3.How is a parallelogram different from a rectangle? Describe one feature that distinguishes them.

4.Which statement describes a trapezium?

It has two pairs of parallel sides.
It has one pair of parallel sides.
It has no parallel sides.
All four sides have the same length.

Area Calculations

Use area of a parallelogram = base × perpendicular height. Use area of a trapezium = ½ × (sum of parallel sides) × perpendicular height.

5.A parallelogram has a base of 11 cm and a perpendicular height of 6 cm. Find its area.

6.The parallel sides of a trapezium are 14 m and 10 m. Its perpendicular height is 5 m. Calculate its area.

7.A parallelogram has an area of 72 cm² and a base of 9 cm. Work out its perpendicular height.

8.A trapezium has parallel sides of 20 cm and 12 cm and a perpendicular height of 7 cm. What is its area?

Area in Everyday Situations

9.A trapezium-shaped garden bed has parallel sides of 16 m and 10 m, with a perpendicular distance of 5 m between them. Grass seed costs $7 per square metre. How much will it cost to seed the whole bed?

10.A parallelogram-shaped window is 1.5 m along its base and has a perpendicular height of 0.9 m. Find the area of glass needed.

11.Explain why the perpendicular height, rather than the sloping side, is used to calculate a parallelogram’s area.