Question

the area of trapezium is 39 square.cm and length of one of the parallel sides is 8cm and its height is 6cm. find the length of other parallel side.

Answer 1

$\bf\red{Hello\:Mate,}$

Your Question :

the area of trapezium is 39 square.cm and length of one of the parallel sides is 8cm and its height is 6cm. find the length of other parallel side.

Required AnsweR :

$\bf\pink{We\:Are\: Given:}$

• Area of a Trapezium is 39 cm².

• Length of one of the parallel side is 8 cm.

• Height of the Trapezium is 6 cm.

$\bf\pink{We\:have\:to\:find:}$

• the length of other parallel side ?

Explanation :

• let the other parallel side be x.

$\bf\purple{Area\:of\: Trapezium = \dfrac{1}{2}\times ( a + b )\times h}$

• a means length of one parallel side that is 8 cm.

• b means length of other parallel side that is "x" cm.

• h means the height that is 6 cm.

$\\ \longrightarrow\sf{ 39 =\dfrac{1}{2}\times ( 8 + x )\times 6}$

$\\ \longrightarrow\sf{ 39 = ( 8 + x )\times 3}$

$\\ \longrightarrow\sf{ 39 = 24 + 3x}$

$\\ \longrightarrow\sf{ 39 - 24 = 3x}$

$\\ \longrightarrow\sf{ 15 = 3x}$

$\\ \longrightarrow\sf{ x = \dfrac{15}{3}}$

$\\ \longrightarrow\sf{ 5 = x}$

• Therefore the length of other parallel side is 5 cm .

hope it helps you