Answer :
The value of QP is 14
What are similar figures?
Similar shapes are enlargements of each other using a scale factor.
All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
Therefore;
27/x-1 = 21/x-3
27( x-3) = 21( x-1)
= 27x - 81 = 21x - 21
collecting like terms
27x -21x = 21 +81
6x = 102
divide both side by 6
x = 102/6
= 17
QP = x-3
= 17-3
= 14
therefore the value of QP is 14
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