Question

The Line Segment AB with a Point P on it is given in the figure as :

If AP : AB = 4 : 11 and Length of Line Segment PB = 14 cm, find the Length of AP.

• A. 6 cm
• B. 8 cm
• C. 10 cm
• D. 7 cm

Answer 1

The correct option is B

8 cm

Let AP be 4x and AB be 11x.

PB = AB - AP = 11x - 4x = 7x

Given that PB = 14 cm

$\therefore$ x = $\frac{14}{7}$ = 2

Length of AP = 4x = 4 $\times$ 2 = 8 cm