From the given figure, find the area of trapezium ABCD.

Question

KnowledgeBoat · Accepted Answer

From figure, AB || DC Distance between parallel sides, AE = BC = 4 cm In right angled △ AED, Hypotenuse2 = Perpendicular2 + Base2 ⇒ AD2 = AE2 + ED2 ⇒ 52 = 42 + ED2 ⇒ 25 = 16 + ED2 ⇒ ED2 = 25 - 16 ⇒ ED2 = 9 ⇒ ED = ⇒ ED = 3 cm. ∴ DC = EC - ED = 5 - 3 = 2 cm As we know, Area of trapezium = Hence, the area of trapezium ABCD is 14 cm2.

Mathematics

From the given figure, find the area of trapezium ABCD.

Pythagoras Theorem

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