Question

The parallel sides of a Trapezium are 25 cm and 13 cm and non parallel sides are equal each being 10 cm find the area of the trapezium.

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Answer 1

Step-by-step explanation:

the answer is 152 cm

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Answer 2

Answer:

152 cm

Step-by-step explanation:

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 cm