Question

the lenght of one of the parallel sides of a trapezium is 80 cm and the distance between the two parallel sides 4 cm .find the lenght of the other side if the area of the trapezium is 256 cm²​

Answer 1

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\dashrightarrow One\:of\:parallel\:side(a)=80cm$

$\dashrightarrow distance\:between\:two\:parallel\\ sides(height)=4cm$

$\large\underline\bold{TO\:FIND,}$

$\dashrightarrow The\:value\:of\:other\:side(b)$

✯. FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: Area\:of\:trapezium= \dfrac{1}{2} (a+b)\times h\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\dashrightarrow Let\:the\:other\:side\:of\:trapezium\:be\:x\:cm.$

$\therefore area\:of\:trapezium= \dfrac{1}{2}(a+b)\times h$

$\implies \dfrac{1}{2}(80+x) \times 4= 256$

$\implies \dfrac{1}{\cancel{2}}(80+x) \times \cancel{4}= 256$

$\implies (80+x)\times 2 = 256$

$\implies 80+x= \dfrac{256}{2}$

$\implies 80+x= \cancel\dfrac{256}{2}$

$\implies 80+x= 128$

$\implies x= 128-80$

$\implies x= 48cm$

$\large{\boxed{\bf{ \star\:\: x=48cm\:\: \star}}}$

$\large\underline\bold{LENGTH\:OF\:OTHER\:SIDE\:OF\: TRAPEZIUM\:IS\:48cm.}$

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✯.REFER THE ATTACHMENT.