Question

The parallel sides of a trapezium are 25cm and 13 cm, it's non- parallel sides are equal each being 10 cm. Find the area of the trapezium. ​

Answer 1

Answer:

here is ur answer hope u have been understood refer the attachment

Step-by-step explanation:

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Answer 2

❍Question :-

The parallel sides of a trapezium are 25cm and 13 cm, it's non- parallel sides are equal each being 10 cm. Find the area of the trapezium ??

❍Formula :-

$\sf area \: of \: trapezium = base \times height + \frac{1}{2} (base \times \: height)$

❍To find

• area of the trapezium.

❍Solution :-

In ΔCEF, CE = 10 cm and EF = 6cm

by Pythagoras theorem:

↬CE² = CF² + EF²

↬ CF² = CE² – EF²

↬CF² = 102 – 62

↬ CF² = 100-36

↬CF² = 64

↬ CF = 8 cm

From the figure we can write, Area of trapezium = Area of parallelogram AECD + Area of area of triangle CEF

Area of trapezium = base × height + 1/2 (base × height)

Area of trapezium = 13 × 8 + 1/2 (12 × 8)

Area of trapezium = 104 + 48 = 152

∴ Area of trapezium = 152 cm²

${\small{\bold{\underline{\therefore\: The \: area \: of \: trapezium \: is \: \bold{\purple{152cm^{2} }}\: .}}}}$