Question

If the area of a trapezium with parallel sides of lengths 15.2cm and 10.8cm respectively is 84.5 sq. cm, then find its height.​

Answer 1

Given :

• Area of Trapezium is 84.5 cm² .
• Length of parallel sides is 15.2 cm and 10.8 cm respectively .

To Find :

• Height of Trapezium .

Solution :

$\longmapsto\tt{Parallel\:Sides=10.8\:cm\:and\:84.5\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Trapezium=\dfrac{1}{2}\times{(Sum\:of\:parallel\:sides)}\times{h}}$

Putting Values :

$\longmapsto\tt{84.5=\dfrac{1}{2}\times{(15.2+10.8)}\times{h}}$

$\longmapsto\tt{84.5\times{2}=26\:h}$

$\longmapsto\tt{169=26\:h}$

$\longmapsto\tt{h=\cancel\dfrac{169}{26}}$

$\longmapsto\tt\bf{h=6.5\:cm}$

So , The Height of Trapezium is 6.5 cm .