# Clear selection26) Length of the two parallel 2 pointssides of a trapezium are 8.5cm and 11.5 cm respectively October 13, 2021 By Ruby

Clear selection
26) Length of the two parallel 2 points
sides of a trapezium are 8.5
cm and 11.5 cm respectively
and its height is 42 cm, find its
area.
0
47 cm2
42 cm2
o 43 cm​

1. ## Correct Question :

• Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 42 cm, find its area.

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## Given :

• First Parallel Side = 8.5cm
• Second Parallel Side = 11.5cm
• Height of Trapezium = 42cm

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## To Find:

• Area of Trapezium

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## Solution :

✰ As we know that, Area of Trapezium is given by ½ × Height × (Sum of Parallel Sides) . So Simply we will put the given values in the Formula.

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### Putting the Values :

⟹ Area = ½ × h × (S1 + S2)

⟹ Area = ½ × 42 × (8.5 + 11.5)

⟹ Area = ½ × 42 × 20

⟹ Area = 42 × 10

⟹ Area = 420cm²

Thus Area of Trapezium is 420cm²

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2. Step-by-step explanation:

$$\huge{\underline{\mathrm{Given\: : }}}$$

$$\sf\blue{ First \:Parallel \:Side = 8.5cm}$$

$$\sf\orange{Second \:Parallel\: Side = 11.5cm }$$

$$\sf\red{ Height \:of \:Trapezium = 42cm}$$

$$\huge{\underline{\mathrm{Solution\: }}}$$

$$\sf\blue{⟼Area = ½ × h × (S1 + S2) }$$

$$\sf\green{⟼Area = ½ × 42 × (8.5 + 11.5) }$$

$$\sf\red{⟼Area = ½ × 42 × 20}$$

$$\sf\blue{⟼ Area = 42 × 10 }$$

$${\boxed{ ⟼ Area = 420cm²}}$$

## ⠀━━━━━━━━━━━━━━━━━━━━━━━━

Thus Area of Trapezium is 420cm².