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Question

Calculate the areas of the shapes below:

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a)

The shape consists of a square of side length 88 cm, and 44 congruent triangles, each of base length 88 cm and height 44 cm.

Area of square of side length ll cm is l2 cm2l^2\ \text{cm}^2

=82=64 cm2=8^2=\color{#4257b2}64\ \text{cm}^2

Area of triangle of base length bb and height length hh is 12bh\frac{1}{2}bh

=12×8×4=16 cm2=\frac{1}{2}\times 8 \times 4=\color{#4257b2}16\ \text{cm}^2

Total area = area of square + 4×4\times area of triangle

=64+4×16=128 cm2=64+4\times 16=\color{#4257b2}128\ \text{cm}^2

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