Question

find the area of a trapezium whose parallel sides measure 10 cm and 8 cm respectively and the distance between these sides is 6 CM with diagram ​

Answer 1

Answer:

Given :-

• A trapezium whose parallel sides measure 10 cm and 8 cm respectively and the distance between these sides is 6 cm.

To Find :-

• What is the area of a trapezium.

Formula Used :-

$\clubsuit$ Area Of Trapezium Formula :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Area_{(Trapezium)} =\: \dfrac{1}{2} \times (Sum\: of\: parallel\: sides) \times Height}}}\: \: \: \bigstar$

Solution :-

Given :

• Parallel sides = 10 cm and 8 cm
• Height = 6 cm

According to the question by using the formula we get,

$\footnotesize \implies \bf Area_{(Trapezium)} =\: \dfrac{1}{2} \times (Sum\: of\: parallel\: sides) \times Height$

$\implies \sf Area_{(Trapezium)} =\: \dfrac{1}{2} \times (10 + 8) \times 6$

$\implies \sf Area_{(Trapezium)} =\: \dfrac{1}{2} \times (18) \times 6$

$\implies \sf Area_{(Trapezium)} =\: \dfrac{1}{\cancel{2}} \times {\cancel{108}}$

$\implies \sf\bold{\red{Area_{(Trapezium)} =\: 54\: cm^2}}$

$\therefore$ The area of a trapezium is 54 cm² .

[Note :- Please refer that attachment for your diagram. ]

Answer 2

★ Given :-

• Parallel Sides = 10 cm & 8 cm
• Height = 6 cm .

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★ To Find :-

• Area of Trapezium = ?

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★ Solution :-

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∓ Here, it is given that, Parallel Sides of the Trapezium is 10 cm & 8 cm . The Height of Trapezium is 6 cm . And, we have to find the Area of Trapezium .

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• Now, let's solve step by step -----

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◆ Formula Required :-

• $\sf\pmb{Area \: of \: Trapezium = \frac{1}{2} \times Sum \: of \: Parallel \: Sides \times Height}$

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∴ By substituting the values :-

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$\dashrightarrow \: \sf{Area \: _{Trapezium} = \frac{1}{2} \times ( \: 10 + 8 \: ) \times 6} \\ \\ \dashrightarrow \: \sf{Area \: _{Trapezium} = \frac{1}{2} \times ( \: 18 \: ) \times 6} \\ \\ \dashrightarrow \: \sf{Area \: _{Trapezium} = \frac{1}{2} \times 108 } \\ \\ \dashrightarrow \: \sf \pmb{Area \: _{Trapezium} = 54 }$

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★ Hence :-

• Area of Trapezium = 54 cm² .

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