Question

Q2. If the area of a Trapezium is 48cm². Find one of its parallel sides if another parallel side is of 12cm and distance between

the parallel sides is 6 cm.​

Answer 1

One of the parallel sides =24cm

Let the length of the other parallel sides be x cm

Also, area of the trapezium =480 sq. cm

Distance between the parallel sides =8cm

∴ Area of a trapezium =1/2 x (a+b) x h

∴480=1/2 x (24+x) x 8

⇒480=96+4x

⇒480−96=4x

⇒4x=384

⇒x= 384/4

=96cm

Thus the length of the other parallel side is 96cm

Answer 2

$\bigstar$ Given:

$\gg$ The area of a Trapezium is 48cm².

$\gg$ One of its parallel sides is 12 cm.

$\gg$ The distance between the parallel sides is 6 cm.

$\bigstar$ To Find:

The length of the other parallel side.

$\bigstar$ Solution:

Formula to find the area of a parallelogram = $\dfrac{1}{2}\times(a+b)\times\:h$

where, a and b are the two parallel sides and h is the distance between them.

In this question, the only unknown value is b. Substituting the values in the equation :

$\sf{48=\dfrac{1}{2}\times(12+b)\times6}$

$\sf{48=3\times(12+b)}$

$\sf{48=36+3b}$

$\sf{3b=48-36}$

$\sf{3b=12}$

$\sf{b=\dfrac{12}{3}}$

$\sf{b=4}$

Therefore, the length of the other parallel side of the trapezium is 4 cm.