2
Question
The line segment AB with a point P on it is given in the figure as :
If AP : AB = 4 : 11 and the length of line segment PB = 14 cm, find the length of AP.
The line segment AB with a point P on it is given in the figure as :
If AP : AB = 4 : 11 and the length of line segment PB = 14 cm, find the length of AP.
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Solution
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
∴ x = 147 = 2
Length of AP = 4x = 4 × 2 = 8 cm
8 cm
Let AP be 4x and AB be 11x
PB = AB - AP = 11x - 4x = 7x
Given that PB = 14 cm
∴ x = 147 = 2
Length of AP = 4x = 4 × 2 = 8 cm
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