Question

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

If AP : PB = 4 : 7 and Length of AP = 20 cm, Find the Length of the Line Segment AB.

• A. 45 cm
• B. 50 cm
• C. 55 cm
• D. 66 cm

Answer 1

The correct option is C

55 cm

Let AP be 4x and PB be 7x.

AP = 4x = 20

$\Rightarrow$ x = $\frac{20}{4}$ = 5

$\therefore$ PB = 7x = 7$\times$5 = 35 cm

Total Length of Line segment AB = AP + PB = 20 + 35 = 55 cm