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By the definition in solution a) i),

the lengths of the other two pieces will be

xr cm and xr2 cm respectively, where r is the

common ratio.

By the question,

We also have

Hence

Or,

Or,

Or,

This is a quadratic equation which can be reduced to .

Sometimes, it is useful to know the characteristics of the equation by plotting its graph:

As r is a multiple of length, it cannot be negative; hence the second solution is rejected...

By the definition in solution a) i),

the lengths of the other two pieces will be

xr cm and xr2 cm respectively, where r is the

common ratio.

By the question,

We also have

Hence

Or,

Or,

Or,

This is a quadratic equation which can be reduced to .

Sometimes, it is useful to know the characteristics of the equation by plotting its graph:

As r is a multiple of length, it cannot be negative; hence the second solution is rejected...

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