Question

the area of a trapezium is 340 cm square the length of one of the parallel side is 20 cm and its heights is 20 cm. find the length of the others parallel side? Plsss tell me the answer plsss​

Answer 1

Answer:

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Answer 2

$\large{\underline{\rm{\pink{\bf{Given:-}}}}}$

The area of the trapezium = 340 cm²

Length of one parallel side = 20 cm

Height of the trapezium = 20 cm

$\large{\underline{\rm{\pink{\bf{To \: Find:-}}}}}$

The length of the other parallel side.

$\large{\underline{\rm{\pink{\bf{Solution:-}}}}}$

Let us consider the other side to be x,

$\boxed{\sf Area \: of \: a \: trapezium=\dfrac{1}{2}\times Sum \: of \: parallel \: sides \times Height }$

Substituting their values, we get

$\implies \sf 340 \: cm^{2} = \dfrac{1}{2} \times (20 + x) \times 20 \: cm^{2}$

$\implies \sf \dfrac{2 \times 340}{20} \: cm^{2}=20+x$

$\implies \sf \dfrac{680}{20} =34$

$\implies \sf 20+x=34$

Getting the value of x,

$\implies \sf x=34-20$

$\implies \sf x=14$

Therefore, the required side is 14 cm