Question

the parallel sides of a trapezium is 25cm and 13cm , its non-parallel sides are equal ,each being 10cm. Find the area of a trapezium?

Answer 1

Area of trapezium = 1/2*(sum of parallel sides )*height

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Answer 2

152$cm^{2}$ is the area of the trapezium.

Step-by-step explanation:

Given that,

In ΔCEF,

CE = 10cm, EF = 6cm

By using Pythagoras theorem,

$CE^{2}$ = $CF^{2} + EF^{2}$

CF^2 = 100 - 36

CF = 64

CF = 8cm

From the given figure,

Area of Trapezium = Area of ║gm + Area of ΔCEF

Area of Trapezium = Base * Height + 1/2 base * height

= 13 * 8 + 1/2 (12 * 8)

= 152cm^2

∵ The area of trapezium = 152cm^2

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