Question

the area of a trapezium 33m^2 . if the parallel sides are of lengths 10 m 12 m. then the distance between them ​

Answer 1

Answer:

answer for the given problem is given

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

Given:

Area of a trapezium is 33m^2

Length of its parallel sides is 10m and 12 m respectively.

To Find :

Distance between the parallel sides

Property: We know that the two sides of trapezium are parallel to each other.see figure the side AB and CD are two parallel sides of trapezium.such that AB=10cm and CD=12cm

=>'h' denotes the distant between the two parallel sides.

we need to find the value of 'h'

Area of trapezium=

$\bold{\dfrac{1}{2} (sum \: of \: its \: parallel \: sides) \times h}$

$\sf= > 33 = \dfrac{1}{2} (10 + 12) \times h$

$\sf= > 33 = \dfrac{1}{2} \times 22 \times h$

$\sf= > 11h = 33$

$\sf\:h = 3$

$\therefore$The distance between the two parallel sides is 3m