Question

The area of a trapezium is 234 cm² . The length of its parallel side are 20 cm and 32 cm. Find the its altitude.

Answer 1

area = height × (sum of parallel sides)

234 = height × 20 + 32

234 = height × 52

234/52 = h

4.5 =h

Answer 2

Base₁ = 20  cm

Base₂ = 32  cm

Area = 234  cm²

$Height = 2\ \frac{Area }{Base_1 + Base_2}$

$Height = 2\ \frac{234}{30 + 32}$

$Height = 2\ (\frac{234}{52})\\\\\\Height = 2\ (4.5)\\\\\\Height = 9\ cm$

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