Question

If lengths of parallel sides of a Trapezium are 7cm and 10cm and distance between them
is 6cm. then area of trapezium is.​

Answer 1

Given:

• Length of parallel sides of trapezium are 7cm and 10cm.
• Perpendicular distance between them is 6cm

To find:

• Area of trapezium?

Solution:

As given in question that, two parallel sides is 7cm and 10cm and perpendicular distance between them is 6cm.

According to find area of trapezium,

We know that :

• $\large{\boxed{\sf{Area\:of\: trapezium\:=\:\bigg(\dfrac{a+b}{2}\bigg)h}}}$

Where,

• a = 1st base
• b = 2nd base
• h = height

Let put given value in formula :

$\large{\sf{Area\:of\: trapezium\:=\:\bigg(\dfrac{a+b}{2}\bigg)h}}$

$\implies\large{\sf{Area\:of\: trapezium\:=\: \bigg(\dfrac{7+10}{2}\bigg)×6}}$

$\implies\large{\sf{Area\:o\: trapezium\:=\: \dfrac{17}{2}×6}}$

$\implies\large{\sf{Area\:of\: trapezium\:=\: \dfrac{17}{\cancel{2}}×{\cancel{6}}}}$

$\implies\large{\sf{Area\:of\: trapezium\:=\: 17 × 3}}$

$\implies\large{\sf{Area\:of\: trapezium\:=\: 51}}$

Therefore,

• $\large{\boxed{\sf{\green{Area\:of\: trapezium\:=\: 51cm²}}}}$

Answer 2

Given :-

• Length of parallel sides of trapezium = 7 cm and 10 cm
• Height of trapezium = 6 cm

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To find :-

• Area of trapezium

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Formula :-

• Area of trapezium

ㅤ‎ㅤ‎= 1/2 × (sum of parallel sides) × height

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Solution :-

• Area = 1/2 × ( 7 + 10) × 6

• Area = 1/2 × 17 × 6

• Area = 17 × 3

• Area = 51 cm²

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Therefore , area of trapezium = 51 cm².