Question

The length of a line segment AB is of the length of the line segment CD. The length of
another line segment EF is of the length of the line segment AB. What fraction of the
length of CD is equal to the length of EF? If CD = 4 cm then find the length of EF.​

Answer 1

Answer:

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}CDAB=32CD

AB=\frac{2}{3}xAB=32x

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}xEF=83AB=83(32x)=41x

EF=\frac{1}{4}CDEF=41CD

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)=1EF=41(4)=1

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

#Learn more

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.