Question

• Area of trapezium AB CD - 24cm
seg AB Il seg co If ICAB ) -7 cm
and I Col 5 cm find the distance
between two parallel sides​

Answer 1

Correct Question:-

Area of trapezium ABCD is 24cm² with AB Il CD. If AB is 7 cm and CD is 5 cm. Find the distance between two parallel sides.

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Given:-

• Area of Trapezium ABCD = 24cm

• AB = 7cm

• CD = 5cm

To Find:-

• Distance between the two parallel sides.

Formula Used:-

• $\bf Area\:of\: Trapezium={\boxed{\bf{\dfrac{1}{2}[P_1+P_2]\times h}}}$

Here,

• $\bf P_1$ = First parallel Side

• $\bf P_2$ = Second parallel Side

• h = Height

Solution:-

$\bf :\implies\:Area=\dfrac{1}{2}[P_1+P_2]\times h$

Here,

• Area = 24cm²

• $\bf P_1=7cm$

• $\bf P_2=5cm$

Putting values,

$\sf :\implies\:24=\dfrac{1}{2}[7+5]\times h$

$\sf :\implies\:24=\dfrac{1}{2}\times 12\times h$

$\sf :\implies\:6h=24$

$\sf :\implies\:h=\dfrac{24}{6}$

$\bf :\implies\:h=4\:cm$

Hence, The distance between two parallel sides of the Trapezium is 4cm.

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