Answer:
Length of the longest side of the similar polygon = 15 cm
Step-by-step explanation:
Sides of a polygon are 3 cm, 5 cm, 6 cm, 8 cm and 10 cm
Perimeter of the polygon = 3 + 5 + 6 + 8 + 10
= 32 cm
Perimeter of the similar polygon = 48 cm
Since, scale factor = [tex]\frac{\text{Perimeter of the similar polygon}}{\text{Perimeter of the original polygon}}[/tex]
= [tex]\frac{48}{32}[/tex]
= 1.5
Since, scale factor = [tex]\frac{\text{Dimension of the similar polygon}}{\text{Dimension of the original polygon}}[/tex]
1.5 = [tex]\frac{\text{Dimension of the similar polygon}}{10}[/tex]
Dimension of the similar polygon = 1.5 × 10
= 15 cm
Therefore, longest side of the similar polygon = 15 cm
