The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel

1.	The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides areequal, each being 10 cm. Find the area of the trapezium,
Answer» 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

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

Answer»

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

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

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