Question

The length of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128cm². The distance between the parallel sides is​

Answer 1

GivEn:-

• The length of the parallel sides of a trapezium are 19 cm and 13 cm.

• Area of trapezium = 128cm²

To find:-

• The distance between the parallel sides.

SoluTion:-

GivEn that,

✇ The length of the parallel sides of a trapezium are 19 cm and 13 cm.

So, let's the parallel sides be x i.e 19cm and y i.e 13cm.

✇ Area of trapezium = 128cm²

We have to find,

✩ The distance between the parallel sides that is the height of trapezium.

As we know that,

★ ${\underline{\boxed{\bf{\pink{Area_{(trapezium)} = \dfrac{1}{2} \times (sum\;of\;it\; parallel\;sides) \times height}}}}}$

Therefore,

$:\implies\sf 128 = \dfrac{1}{2} \times (x + y) \times h$

$:\implies\sf 128 = \dfrac{1}{2} \times (19 + 13) \times h$

$:\implies\sf 128 = \dfrac{1}{ \cancel{2}} \times \cancel{32} \times h$

$:\implies\sf 128 = 16 \times h$

$:\implies\sf h = \cancel{ \dfrac{128}{16}}$

$:\implies{\underline{\boxed{\bf{\purple{h = 8\;cm}}}}}$

$\therefore\sf \underline{Distance\;b/w\;the\; parallel\;sides\;is\;8\;cm.}$

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Answer 2

$\bf{\underline{Question:-}}$

The length of the parallel sides of a trapezium are 19 cm and 13 cm and its area is 128cm². The distance between the parallel sides is.

$\bf{\underline{Given:-}}$

• Length of parallel side of trapezium 19 & 13cm
• Area of trapezium = 128cm².
• Distance between parallel side (height)= ?

$\bf{\underline{</strong><strong>Formu</strong><strong>la</strong><strong>:-}}$

Area of trapezium= 1/2 (sum of parallel side) h

$\bf{\underline{</strong><strong>Solution</strong><strong>:-}}$

$\bf → 128 = 1/2 ( 19 + 13 ) × h$

$\bf → 128 = 1/2 ( 32 ) × h$

$\bf → 128 = 1 × 16 × h$

$\bf → 128 = 16h$

$\bf → h = 128/16$

$\bf → h = 8cm$

$\bf{\underline{Hence:-}}$

• Distance between parallel side (height) = 8cm