Question

The area of a trapezium is 540 cm², the distance between two parallel sides is 18 cm and one of the parallel side is 24 cm. The other parallel side is:

Answer 1

Answer:

Question⬇️

The area of a trapezium is 540 cm², the distance between two parallel sides is 18 cm and one of the parallel side is 24 cm. The other parallel side is:

Solution⬇️

Area of trapezium = 540cm²,

Let the parallel sides be 7x & 5x

& height = 18 cm

540 = ½h(a+b)

where a,b are sids of trapezium

⇒1080=18(7x+5x)

⇒60=12x

⇒x=5

Sides = 25 , 35

For notebook solution see the attachment.

Answer 2

A n s w e r

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G i v e n

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• Area of trapezium is 540 cm²

• Distance between two parallel sides is 18 cm

• One of the parallel side is 24 cm

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F i n d

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• The other parallel side

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S o l u t i o n

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• Let the other parallel side be "s"

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We know that ,

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$\underline{\underline{\bold{\texttt{Area of trapezium :}}}}$

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➠ $\sf A = \dfrac { 1 } { 2 } \times h \times (a + b)$ ⚊⚊⚊⚊ ⓵

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Where ,

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• A = Area of trapezium

• h = Distance between the parallel sides

• a = First parallel side

• b = Second parallel side

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$\underline{ \underline{\bold{\texttt{For the given trapezium :}}}}$

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• A = 540 cm²

• h = 18 cm

• a = 24 cm

• b = s

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⟮ Putting the above values in ⓵ ⟯

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: ➜ $\sf A = \dfrac { 1 } { 2 } \times h \times (a + b)$

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: ➜ $\sf 540 = \dfrac { 1 } { 2 } \times 18 \times (24 + s)$

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: ➜ $\sf 540 = 9 \times (24 + s)$

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: ➜ $\sf (24 + s) = \dfrac { 540 } { 9 }$

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: ➜ $\sf (24 + s) = 60$

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: ➜ s = 60 - 24

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: : ➨ s = 36 cm

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• Hence the other parallel side of the given trapezium is 36 cm

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Additional information

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Perimeter of trapezium

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• a + b + c + d

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Where ,

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➻ a = First side

➻ b = Second side

➻ c = Third side

➻ d = Fourth side

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Properties of trapezium

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• A trapezium has two parallel sides and two non-parallel sides

• The diagonals of regular trapezium bisect each other

• The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium