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

5.05 Finding dimensions from perimeters or areas

Interactive practice questions

Find the side length $y$y indicated on the diagram. The perimeter of the shape is $29$29 $m$ .

Easy

< 1min

Find the side length $d$d indicated on the diagram. The perimeter of the shape is $35$35 $cm$ .

Easy

< 1min

Find the side length $d$d indicated on the diagram. The perimeter of the shape is $22$22 $m$ .

Easy

< 1min

Find the remaining side length of a triangle if the perimeter of the shape is $64$64 $mm$ and two of the sides measure $19$19 $mm$ and $21$21 $mm$ .

Easy

< 1min

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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