5. Pythagoras' Theorem and Measurement

5.01 Pythagoras' Theorem

5.03 Perimeter of composite shapes

5.04 Area of composite shapes

5.05 Finding dimensions from perimeters or areas

5.051 Prisms and cylinders

5.052 Pyramids and cones

5.06 Applications of surface area

5.07 Applications of volume

5.08 Finding dimensions from surface area or volume

Year 11

5.04 Area of composite shapes

Interactive practice questions

Find the area of the given shape.

A two-dimensional inverted L-shaped figure is displayed. The top horizontal line is labeled $13$ $m$ . On the right portion, the upper vertical side is labeled $4$ $m$ , while the bottom vertical side is labeled $12$ $m$ . The bottom horizontal line is labeled $5$ $m$ .

Easy

1min

Find the total area of the figure shown.

Easy

1min

Find the total area of the figure shown.

Easy

2min

A piece of paper in the shape of a parallelogram is folded along its shortest diagonal, as shown in the image, such that the two longest edges form a right-angle where they overlap.

What is the total area of the folded paper?

Easy

2min

Outcomes

1.3.2

solve practical problems requiring the calculation of perimeters and areas of circles, sectors of circles, triangles, rectangles, parallelograms and composites

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