In a parallelogram abcd, the diagonals intersect at 60°. one of the diagonals ac is 20 units in length and one of the side is 30 units in length. what could be the maximum possible area of the parallelogram
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make a parallelogram 60degree and left side ac is 20units and right side is 30 units and last add them all
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Let distance between Manipur Dispur = x km
Average speed of train from Manipur \( \Large = \frac{x}{4} km/h \)
Average speed of train from Dispur \( \Large = \frac{2x}{7} km/h \)
Let they meet y h after 6 : 00 am.
Then, according to the question,
\( \Large \left(\frac{x}{4} \times y\right)+\frac{2x}{7} \times \left(y-2\right) = x \)
\( \Large \frac{y}{4}+\frac{2 \left(y-2\right) }{7} = 1 \)
7y+8(y-2) = 28
15y = 44
y = \( \Large 15y = 44 \) = 2 h 56 min
Clearly, trains meet 2 h 56 min after 6 : 00 am.
It means the trains meet at 8 : 56 am
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