Question

the area of a trapezium is 380 sq.cm.if its parallel sides are in the ratio 3:5 and the perpendicular distance between them is 19 cm,find the length of each parallel side​

Answer 1

Answer:

Length of the parallel sides are 15 cm and 25 cm

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Answer 2

Length of parallel sides would be 15 cm and 25 cm resp.

Step-by-step explanation:

Since we have given that

Area= 380 sq. cm

Ratio of parallel sides = 3:5

Perpendicular distance between them = 19 cm

So, According to question, it becomes,

$\dfrac{1}{2}(3x+5x)\times 19=380\\\\8x\times 19=380\times 2\\\\8x=\dfrac{380\times 2}{19}=40\\\\x=\dfrac{40}{8}=5$

Hence, length of parallel sides would be

3x = 15 cm and 5x = 25 cm resp.

# learn more:

the area  is 380 sq.cm.if its parallel sides are in the ratio 3:5 and the perpendicular distance between them is 19 cm,find the length of each parallel side​

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