Question

If one of the parallel sides of a Trapezium is 48 cm, the distance between the parallel sides is 25 cm and the area of the trapezium is 900 CM² find the length of a others parallel side .

Pls help me gys as fast as possible Pls ​​​

Answer 1

${\large{\pmb{\red{\underline{\bf{Given :}}}}}}$

one of the parallel sides of a Trapezium is 48 cm, the distance between the parallel sides is 25 cm and the area of the trapezium is 900 CM².

${\large{\pmb{\blue{\underline{\bf{To Find :}}}}}}$

• Find the length of other parallel side.

${\large{\pmb{\orange{\underline{\bf{Solution :}}}}}}$

${\maltese{\bf{\underline{Formula\:for\:trampezium :}}}}$

${\blue{\bigstar{\pink{\boxed{\mathfrak{Area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height}}}}}}$

${\maltese{\bf{\underline{Solving \: starts,}}}}$

${\mapsto{\sf{ \frac{1}{2} \times Sum \: of \: parallel \: sides \times height}}}$

${\mapsto{\sf{ \frac{1}{2} \times (48 + x) \times 25 = 900}}}$

${\mapsto{\sf{48 \times 25 + 25x = 900 \times 2}}}$

${\mapsto{\sf{48 \times 25 + 25x = 1800}}}$

${\mapsto{\sf{1200 + 25x = 1800}}}$

${\mapsto{\sf{25x = 1800 - 1200}}}$

${\mapsto{\sf{25x = 600}}}$

${\mapsto{\sf{x = {\cancel\frac{600}{25} }}}}$

${\blue{\longrightarrow{\red{\boxed{\bf{X = 24}}}}}}$

${\maltese{\underline{\bf{So,}}}}$

The other parallel side is 24cm.

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