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A polygon has a perimeter of 16 cm and an area of 16 cm2 The shape of the polygon is a
1. triangle
2. square
3. hexagon
4. rectangle which is not a square

1 Answer

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Correct Answer - Option 2 : square

Given:

Perimeter = 16 cm 

Area = 16 cm2

Detailed solution:

If we assume the shape to be square

Perimeter = 4a 

⇒ 4a = 16

⇒ a = 4 cm

Area = a2

⇒ 4 × 4

⇒ 16 cm2

∵ The square shape satisfy the condition of equal perimeter and area 

∴ The shape of the polygon is square

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