Question

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​

Answer 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.

Given :

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

To Find :

• Area of Trapezium

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.

⠀⠀

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

________________

Answer 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.