Question

The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are
equal, each being 10 cm. Find the area of the trapezium,
​

Answer 1

Answer:

In ΔCEF, CE = 10 cm and EF = 6cm

Using 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

Answer 2

Answer:

152 cm 2 is tour answer

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