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.

45 cm

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50 cm

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55 cm

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66 cm

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Solution

The correct option is C
55 cm

Let AP be 4x and PB be 7x.

AP = 4x = 20

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

$∴$ PB = 7x = 7 $\times$ 5 = 35 cm

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

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