Question

A line segment AB with a point P on it is as given in the figure.

If AP : PB = 4 : 7 and length of AP = 20 cm, find the length of the line segment AB.

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

Answer 1

The correct option is A

55 cm

Given, AP : PB = 4 : 7,
length of AP = 20 cm

$\Rightarrow$ 4 units represents 20 cm

$\Rightarrow$ 1 unit will represent 5 cm.

$\Rightarrow$ 7 units will represent 35 cm.

So, PB = 35 cm.

Hence, length of AB = AP + PB = 20 + 35 = 55 cm.