Area of a parallelogram
The Maths Habit
1 How many squares cover the rectangle?
122 Work out the area of the rectangle.
45 cm23 What is 6 × 4?
24
The striped triangle is cut off and moved to the other end. Has the area changed?
No. The same pieces make a rectangle.
- Parallelogram
- A flat shape with four sides. Opposite sides are parallel.
- Base
- The side the shape sits on.
- Perpendicular height
- How tall the shape is, measured at a right angle to the base.
- Right angle
- A square corner. It is a quarter turn.
- Move the striped triangle to the other end.It makes a rectangle.
- Find the rectangle.Base × height.
- Write the units.Area is in square units: cm².
Work out the area.
Work out the area.
Work out the area.
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Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area of each parallelogram.
Which line is the perpendicular height?
Which line is the perpendicular height?
- The slanted side is not the height.Leave it out.
- The height is the dashed line.It meets the base at a right angle.
- Use the same frame.Rectangle, then area.
Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area.
Work out the area of each parallelogram.
Is the area right? Thumbs up or thumbs down.
Answer sheet
A parallelogram has an area of 54 cm². Its base is 9 cm. How tall is it?
6 cmA parallelogram and a triangle both have a base of 8 cm and a height of 6 cm. Work out the area of the triangle.
24 cm2A parallelogram has a base of 9.5 cm and a height of 4 cm. Work out its area.
38 cm2
Work out the area of the parallelogram. Rectangle5×4=20
Area = 20 cm2Work out the area of the parallelogram. Rectangle10×4=40
Area = 40 cm2Work out the area of the parallelogram.
24 cm2