Clear selection
26) Length of the two parallel 2 points
sides of a trapezium are 8.5
cm and 11.5 cm respectively

October 13, 2021

By Ruby

2 thoughts on “Clear selection<br />26) Length of the two parallel 2 points<br />sides of a trapezium are 8.5<br />cm and 11.5 cm respectively<br”

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.

   [tex] \\ [/tex]

   Given :

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

   [tex] \\ [/tex]

   To Find :

   • Area of Trapezium

   [tex] \\ [/tex]

   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

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2. Step-by-step explanation:

   [tex]\huge{\underline{\mathrm{Given\: : }}}[/tex]

   [tex]\sf\blue{ First \:Parallel \:Side = 8.5cm}[/tex]

   [tex]\sf\orange{Second \:Parallel\: Side = 11.5cm }[/tex]

   [tex]\sf\red{ Height \:of \:Trapezium = 42cm}[/tex]

   [tex]\huge{\underline{\mathrm{Solution\: }}}[/tex]

   [tex]\sf\blue{⟼Area = ½ × h × (S1 + S2) }[/tex]

   [tex]\sf\green{⟼Area = ½ × 42 × (8.5 + 11.5) }[/tex]

   [tex]\sf\red{⟼Area = ½ × 42 × 20}[/tex]

   [tex]\sf\blue{⟼ Area = 42 × 10 }[/tex]

   [tex]{\boxed{ ⟼ Area = 420cm²}} [/tex]

   ⠀━━━━━━━━━━━━━━━━━━━━━━━━

   Thus Area of Trapezium is 420cm².

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