Question

if the area of trapezium is 81cm square and it's height is 9cm what is the sum of parallel side
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Answer 1

Question:

If the area of trapezium is 81cm square and it's height is 9cm. What is the sum of parallel sides.

To find:

★ To find the sum of parallel sides.

Answer:

$Sum \: of \: parallel \: sides \: is \: \underline{ \:\underline{ \: \sf \pink{ 18cm} \: } \: } .$

Given:

$\bigstar Area \: of \: trapezium = 81 {cm}^{2}$

$\bigstar Height \: of \: trapezium = 9cm$

Step-by-step explanation:

$\boxed{ Area \: of \: trapezium = \big(\frac{a + b}{2}\big) h}$

$Where,$

$\star a + b = Sum \: of \: parallel \: sides.$

$\star h \: is \: height \: of \: trapezium.$

Now substituting the values,

$\implies 81 = ( \frac{a + b}{2} )9$

$\implies 2 \times \not{81} _{9} = \not{9} _{1} (a + b)$

$\implies a + b = 2 \times 9$

$\implies \boxed{a + b = 18cm}$

$\therefore Sum \: of \: parallel \: sides \: is \: \underline{\bold{ 18cm}} .$

Formula used:

$\bigstar Area \: of \: trapezium = (\frac{a + b}{2}) h$

More information:

A trapezium has the following properties:

• A Trapezium has two parallel sides and two non-parallel sides.
• Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°
• The diagonals of regular trapezium bisect each other.

Answer 2

Step-by-step explanation:

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