Question

I Am Confused For This One.

3. Find x.

Answer 1

In the given diagram, x = 11 units.

Explanation:

Step 1; The lines with points A, B, C, D, E, and F all pass through the lines ACE and BDF. Line BDF is purely vertical whereas the other line ACE is at an angle to all the three horizontal lines. As both the lines pass through the same horizontal lines they have a corresponding ratio for the lengths of points on the line.

The ratio is given by
`(AC)/(CE)` =
`(BD)/(DF)`.

Step 2; From the given diagram, we have the following values;

AC = x units, CE = 7 units, BD = 8 units and DF = 5 units.

Substituting these values in the ratio, we get

`(x)/(7)` =
`(8)/(5)`, x =
`(8)/(5)` × 7 =
`(55)/(5)` = 11. So x = 11 units.