Topics
10. Shape and Measurement
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AustraliaVIC
VCE 11 General 2023

10.05 Area of composite shapes

Lesson
Worksheet
Practice

Interactive practice questions

Consider the given shape.

The composite figure consists of two rectangles, labeled A and B. Rectangle A is placed on top of Rectangle B. Rectangle A is longer than Rectangle B. The length of rectangle A measures 9 cm. The width of rectangle A measures 1 cm. The width of rectangle B measures 5 cm. The overhanging parts of Rectangle A on each side of Rectangle B are 4 cm on the left and 2 cm on the right.
a

Determine the area of rectangle $B$B.

b

Hence calculate the total area of the composite shape.

Easy
1min

Calculate the area of the given shape.

Easy
1min

Find the total area of the figure shown.

Easy
1min

The quadrilateral in the diagram has a diagonal measuring $14$14 cm. Find the total area of the figure in cm2.

Easy
2min
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Outcomes

U2.AoS4.5

the perimeter and areas of triangles (using several methods based on information available), quadrilaterals, circles and composite shapes, including arcs

U2.AoS4.11

calculate the perimeter and areas of triangles (calculating the areas of triangles in practical situations using the rules A=1/2 bh, A=1/2 ab sin(c) or A=\sqrt{s(s-a)(s-b)(s-c)} where s=(a+b+c)/2

U2.AoS4.12

use quadrilaterals, circles and composite shapes including arcs and sectors in practical situations

U2.AoS4.13

calculate the perimeter, areas, volumes and surface areas of solids (spheres, cylinders, pyramids and prisms and composite objects) in practical situations, including simple uses of Pythagoras’ in three dimensions

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