Question

The length of a linr segment AB is 2/3 of the length of the line segment CD.The length of another line segment EF is 3/8 of the length of the line segment AB.what fraction of the length of CD is equal to the length of EF? CD=4cm then find the length of EF.

Answer 1

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Answer 2

EF is 1/4 of the length of the line segment CD. If CD=4 cm, then EF = 1cm

Step-by-step explanation:

Let x be the length of CD.

It is given that length of a line segment AB is 2/3 of the length of the line segment CD.

$AB=\frac{2}{3}CD$

$AB=\frac{2}{3}x$

The length of another line segment EF is 3/8 of the length of the line segment AB.

$EF=\frac{3}{8}AB=\frac{3}{8}(\frac{2}{3}x)=\frac{1}{4}x$

$EF=\frac{1}{4}CD$

Therefore, EF is 1/4 of the length of the line segment CD.

It is given that CD=4 cm,

$EF=\frac{1}{4}(4)=1$

If CD=4 cm, then EF = 1cm.

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The length of a line segment AB is 2/3 of the length of the line segment CD.the length of another line segment EF is 3/8 of the length of the line segment AB.what fraction of the length of CD is equal to the length of EF? if CD=4cm then find the length of EF.

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