Perimeter of the given polygon is equals to 64cm.
What is perimeter?
"Perimeter is defined as the total distance around the given shape."
Theorem used
Tangents drawn from a exterior point of a circle have equal length.
According to the question,
As shown in the diagram,
P, Q, R, and S are exterior points of a circle through which tangents are drawn.
Given,
Length of tangent PA = 13cm
Length of tangent SA= 9cm
Length of tangent RC = 4cm
Length of tangent QC =6cm
As per stated theorem we get,
Length of tangent PB = 13cm
Length of tangent SD 9cm
Length of tangent RD = 4cm
Length of tangent QB =6cm
Perimeter of a given polygon = 13 +13 +9+9+4+4+6+6
= 64cm
Hence, perimeter of the given polygon is equals to 64cm.
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