a line segment 56 cm long is to be divided into two parts in the ratio 2:5 . the lenght of each part is - a) 16cm , 14 cm / b) 20cm , 36cm / c) 15cm , 41cm / d) 18cm , 38 cm / plz tell me the answer , i have given u the options also . its very urgent . give the answer from the options .
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Answer:
Let
The length of the two parts be 2x cm and 5x cm.
Given
Length of the line segment =56cm
According to the question,
5x+2x=56
⇒7x=56
⇒x=
7
56
=8
Hence,
Length of one segment =5×8 cm=40 cm
Length of the other segment =2×8 cm=16 cm
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